Abstract
The planar integrability of \( \mathcal{N} \) = 4 super-Yang-Mills (SYM) is the cornerstone for numerous exact observables. We show that the large charge sector of the SU(2) \( \mathcal{N} \) = 4 SYM provides another interesting solvable corner which exhibits striking similarities despite being far from the planar limit. We study non-BPS operators obtained by small deformations of half-BPS operators with R-charge J in the limit J → ∞ with \( {\lambda}_J\equiv {g}_{\textrm{YM}}^2J/2 \) fixed. The dynamics in this large charge ’t Hooft limit is constrained by a centrally-extended \( \mathfrak{psu} \)(2|2)2 symmetry that played a crucial role for the planar integrability. To the leading order in 1/J, the spectrum is fully fixed by this symmetry, manifesting the magnon dispersion relation familiar from the planar limit, while it is constrained up to a few constants at the next order. We also determine the structure constant of two large charge operators and the Konishi operator, revealing a rich structure interpolating between the perturbative series at weak coupling and the worldline instantons at strong coupling. In addition we compute heavy-heavy-light-light (HHLL) four-point functions of half-BPS operators in terms of resummed conformal integrals and recast them into an integral form reminiscent of the hexagon formalism in the planar limit. For general SU(N) gauge groups, we study integrated HHLL correlators by supersymmetric localization and identify a dual matrix model of size J/2 that reproduces our large charge result at N = 2. Finally we discuss a relation to the physics on the Coulomb branch and explain how the dilaton Ward identity emerges from a limit of the conformal block expansion. We comment on generalizations including the large spin ’t Hooft limit, the combined large N-large J limits, and applications to general \( \mathcal{N} \) = 2 superconformal field theories.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. ’t Hooft, A Planar Diagram Theory for Strong Interactions, Nucl. Phys. B 72 (1974) 461 [INSPIRE].
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
S. Hellerman, D. Orlando, S. Reffert and M. Watanabe, On the CFT Operator Spectrum at Large Global Charge, JHEP 12 (2015) 071 [arXiv:1505.01537] [INSPIRE].
A. Monin, D. Pirtskhalava, R. Rattazzi and F.K. Seibold, Semiclassics, Goldstone Bosons and CFT data, JHEP 06 (2017) 011 [arXiv:1611.02912] [INSPIRE].
L. Alvarez-Gaume, O. Loukas, D. Orlando and S. Reffert, Compensating strong coupling with large charge, JHEP 04 (2017) 059 [arXiv:1610.04495] [INSPIRE].
L.Á. Gaumé, D. Orlando and S. Reffert, Selected topics in the large quantum number expansion, Phys. Rept. 933 (2021) 1 [arXiv:2008.03308] [INSPIRE].
L. Alvarez-Gaume, D. Orlando and S. Reffert, Large charge at large N, JHEP 12 (2019) 142 [arXiv:1909.02571] [INSPIRE].
D. Orlando, S. Reffert and F. Sannino, A safe CFT at large charge, JHEP 08 (2019) 164 [arXiv:1905.00026] [INSPIRE].
S. Giombi and J. Hyman, On the large charge sector in the critical O(N) model at large N, JHEP 09 (2021) 184 [arXiv:2011.11622] [INSPIRE].
N. Dondi, I. Kalogerakis, D. Orlando and S. Reffert, Resurgence of the large-charge expansion, JHEP 05 (2021) 035 [arXiv:2102.12488] [INSPIRE].
D. Orlando, S. Reffert and T. Schmidt, Following the flow for large N and large charge, Phys. Lett. B 825 (2022) 136881 [arXiv:2110.07616] [INSPIRE].
R. Moser, D. Orlando and S. Reffert, Convexity, large charge and the large-N phase diagram of the φ4 theory, JHEP 02 (2022) 152 [arXiv:2110.07617] [INSPIRE].
D. Banerjee, S. Chandrasekharan and D. Orlando, Conformal dimensions via large charge expansion, Phys. Rev. Lett. 120 (2018) 061603 [arXiv:1707.00711] [INSPIRE].
D. Banerjee, S. Chandrasekharan, D. Orlando and S. Reffert, Conformal dimensions in the large charge sectors at the O(4) Wilson-Fisher fixed point, Phys. Rev. Lett. 123 (2019) 051603 [arXiv:1902.09542] [INSPIRE].
D. Banerjee and S. Chandrasekharan, Subleading conformal dimensions at the O(4) Wilson-Fisher fixed point, Phys. Rev. D 105 (2022) L031507 [arXiv:2111.01202] [INSPIRE].
H. Singh, Large-charge conformal dimensions at the O(N) Wilson-Fisher fixed point, arXiv:2203.00059 [INSPIRE].
G. Cuomo et al., Numerical tests of the large charge expansion, arXiv:2305.00499 [INSPIRE].
S. Hellerman, S. Maeda and M. Watanabe, Operator Dimensions from Moduli, JHEP 10 (2017) 089 [arXiv:1706.05743] [INSPIRE].
S. Hellerman and S. Maeda, On the Large R-charge Expansion in \( \mathcal{N} \) = 2 Superconformal Field Theories, JHEP 12 (2017) 135 [arXiv:1710.07336] [INSPIRE].
A. Bourget, D. Rodriguez-Gomez and J.G. Russo, A limit for large R-charge correlators in \( \mathcal{N} \) = 2 theories, JHEP 05 (2018) 074 [arXiv:1803.00580] [INSPIRE].
S. Hellerman et al., Universal correlation functions in rank 1 SCFTs, JHEP 12 (2019) 047 [arXiv:1804.01535] [INSPIRE].
M. Beccaria, On the large R-charge \( \mathcal{N} \) = 2 chiral correlators and the Toda equation, JHEP 02 (2019) 009 [arXiv:1809.06280] [INSPIRE].
A. Grassi, Z. Komargodski and L. Tizzano, Extremal correlators and random matrix theory, JHEP 04 (2021) 214 [arXiv:1908.10306] [INSPIRE].
S. Hellerman et al., S-duality and correlation functions at large R-charge, JHEP 04 (2021) 287 [arXiv:2005.03021] [INSPIRE].
A. Sharon and M. Watanabe, Transition of Large R-Charge Operators on a Conformal Manifold, JHEP 01 (2021) 068 [arXiv:2008.01106] [INSPIRE].
S. Hellerman and D. Orlando, Large R-charge EFT correlators in N = 2 SQCD, arXiv:2103.05642 [INSPIRE].
S. Hellerman, On the exponentially small corrections to \( \mathcal{N} \) = 2 superconformal correlators at large R-charge, arXiv:2103.09312 [INSPIRE].
E. Gerchkovitz et al., Correlation Functions of Coulomb Branch Operators, JHEP 01 (2017) 103 [arXiv:1602.05971] [INSPIRE].
G. Arias-Tamargo, D. Rodriguez-Gomez and J.G. Russo, The large charge limit of scalar field theories and the Wilson-Fisher fixed point at ϵ = 0, JHEP 10 (2019) 201 [arXiv:1908.11347] [INSPIRE].
G. Arias-Tamargo, D. Rodriguez-Gomez and J.G. Russo, Correlation functions in scalar field theory at large charge, JHEP 01 (2020) 171 [arXiv:1912.01623] [INSPIRE].
G. Badel, G. Cuomo, A. Monin and R. Rattazzi, The Epsilon Expansion Meets Semiclassics, JHEP 11 (2019) 110 [arXiv:1909.01269] [INSPIRE].
M. Watanabe, Accessing large global charge via the ϵ-expansion, JHEP 04 (2021) 264 [arXiv:1909.01337] [INSPIRE].
S. Giombi and S. Komatsu, Exact Correlators on the Wilson Loop in \( \mathcal{N} \) = 4 SYM: Localization, Defect CFT, and Integrability, JHEP 05 (2018) 109 [Erratum ibid. 11 (2018) 123] [arXiv:1802.05201] [INSPIRE].
S. Giombi and S. Komatsu, More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve, J. Phys. A 52 (2019) 125401 [arXiv:1811.02369] [INSPIRE].
S. Giombi, J. Jiang and S. Komatsu, Giant Wilson loops and AdS2/dCFT1, JHEP 11 (2020) 064 [arXiv:2005.08890] [INSPIRE].
M. Beccaria, F. Galvagno and A. Hasan, \( \mathcal{N} \) = 2 conformal gauge theories at large R-charge: the SU(N) case, JHEP 03 (2020) 160 [arXiv:2001.06645] [INSPIRE].
S. Giombi, S. Komatsu and B. Offertaler, Large charges on the Wilson loop in \( \mathcal{N} \) = 4 SYM: matrix model and classical string, JHEP 03 (2022) 020 [arXiv:2110.13126] [INSPIRE].
S. Giombi, S. Komatsu and B. Offertaler, Large charges on the Wilson loop in \( \mathcal{N} \) = 4 SYM. Part II. Quantum fluctuations, OPE, and spectral curve, JHEP 08 (2022) 011 [arXiv:2202.07627] [INSPIRE].
N. Gromov and A. Sever, Analytic Solution of Bremsstrahlung TBA, JHEP 11 (2012) 075 [arXiv:1207.5489] [INSPIRE].
N. Gromov, F. Levkovich-Maslyuk and G. Sizov, Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle, JHEP 10 (2013) 036 [arXiv:1305.1944] [INSPIRE].
G. Sizov and S. Valatka, Algebraic Curve for a Cusped Wilson Line, JHEP 05 (2014) 149 [arXiv:1306.2527] [INSPIRE].
J. Polchinski and E. Silverstein, Large-density field theory, viscosity, and ’2kF ’ singularities from string duals, Class. Quant. Grav. 29 (2012) 194008 [arXiv:1203.1015] [INSPIRE].
J.M. Maldacena and A. Strominger, AdS(3) black holes and a stringy exclusion principle, JHEP 12 (1998) 005 [hep-th/9804085] [INSPIRE].
J.M. Maldacena and H. Ooguri, Strings in AdS(3) and SL(2, R) WZW model 1. The Spectrum, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053] [INSPIRE].
N. Beisert, The SU(2|2) dynamic S-matrix, Adv. Theor. Math. Phys. 12 (2008) 945 [hep-th/0511082] [INSPIRE].
N. Beisert, The Analytic Bethe Ansatz for a Chain with Centrally Extended SU(2|2) Symmetry, J. Stat. Mech. 0701 (2007) P01017 [nlin/0610017] [INSPIRE].
D.J. Broadhurst and A.I. Davydychev, Exponential suppression with four legs and an infinity of loops, Nucl. Phys. B Proc. Suppl. 205-206 (2010) 326 [arXiv:1007.0237] [INSPIRE].
S. Giombi, E. Helfenberger and H. Khanchandani, Long range, large charge, large N, JHEP 01 (2023) 166 [arXiv:2205.00500] [INSPIRE].
B. Basso, S. Komatsu and P. Vieira, Structure Constants and Integrable Bootstrap in Planar N = 4 SYM Theory, arXiv:1505.06745 [INSPIRE].
T. Fleury and S. Komatsu, Hexagonalization of Correlation Functions, JHEP 01 (2017) 130 [arXiv:1611.05577] [INSPIRE].
B. Basso and L.J. Dixon, Gluing Ladder Feynman Diagrams into Fishnets, Phys. Rev. Lett. 119 (2017) 071601 [arXiv:1705.03545] [INSPIRE].
F. Coronado, Perturbative four-point functions in planar \( \mathcal{N} \) = 4 SYM from hexagonalization, JHEP 01 (2019) 056 [arXiv:1811.00467] [INSPIRE].
F. Coronado, Bootstrapping the Simplest Correlator in Planar \( \mathcal{N} \) = 4 Supersymmetric Yang-Mills Theory to All Loops, Phys. Rev. Lett. 124 (2020) 171601 [arXiv:1811.03282] [INSPIRE].
B. Basso, J. Caetano and T. Fleury, Hexagons and Correlators in the Fishnet Theory, JHEP 11 (2019) 172 [arXiv:1812.09794] [INSPIRE].
H. Paul, E. Perlmutter and H. Raj, Exact large charge in \( \mathcal{N} \) = 4 SYM and semiclassical string theory, JHEP 08 (2023) 078 [arXiv:2303.13207] [INSPIRE].
A. Brown, C. Wen and H. Xie, Generating functions and large-charge expansion of integrated correlators in \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory, JHEP 07 (2023) 129 [arXiv:2303.17570] [INSPIRE].
N. Beisert, The Dilatation operator of N = 4 super Yang-Mills theory and integrability, Phys. Rept. 405 (2004) 1 [hep-th/0407277] [INSPIRE].
H. Tasaki and H. Watanabe, Off-diagonal long-range order implies vanishing charge gap, Phys. Rev. B 104 (2021) L180501 [arXiv:2105.10692] [INSPIRE].
O. Aharony and E. Palti, Convexity of charged operators in CFTs and the weak gravity conjecture, Phys. Rev. D 104 (2021) 126005 [arXiv:2108.04594] [INSPIRE].
A. Sharon and M. Watanabe, A counterexample to the CFT convexity conjecture, JHEP 05 (2023) 202 [arXiv:2301.08262] [INSPIRE].
D. Orlando and E. Palti, Goldstone bosons and convexity, Phys. Rev. D 108 (2023) 085002 [arXiv:2303.02178] [INSPIRE].
P.C. Argyres and M.R. Douglas, New phenomena in SU(3) supersymmetric gauge theory, Nucl. Phys. B 448 (1995) 93 [hep-th/9505062] [INSPIRE].
P.C. Argyres, M.R. Plesser, N. Seiberg and E. Witten, New N = 2 superconformal field theories in four-dimensions, Nucl. Phys. B 461 (1996) 71 [hep-th/9511154] [INSPIRE].
N. Beisert, C. Kristjansen and M. Staudacher, The Dilatation operator of conformal N = 4 superYang-Mills theory, Nucl. Phys. B 664 (2003) 131 [hep-th/0303060] [INSPIRE].
C. Kristjansen, Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity, Lett. Math. Phys. 99 (2012) 349 [arXiv:1012.3997] [INSPIRE].
J.A. Minahan and K. Zarembo, The Bethe ansatz for N = 4 superYang-Mills, JHEP 03 (2003) 013 [hep-th/0212208] [INSPIRE].
T. McLoughlin, R. Pereira and A. Spiering, Quantum chaos in perturbative super-Yang-Mills Theory, SciPost Phys. 14 (2023) 049 [arXiv:2011.04633] [INSPIRE].
B.I. Zwiebel, N = 4 SYM to two loops: Compact expressions for the non-compact symmetry algebra of the su(1, 1|2) sector, JHEP 02 (2006) 055 [hep-th/0511109] [INSPIRE].
N. Beisert, The complete one loop dilatation operator of N = 4 superYang-Mills theory, Nucl. Phys. B 676 (2004) 3 [hep-th/0307015] [INSPIRE].
O. Aharony et al., The Hagedorn-deconfinement phase transition in weakly coupled large N gauge theories, Adv. Theor. Math. Phys. 8 (2004) 603 [hep-th/0310285] [INSPIRE].
C. Romelsberger, Counting chiral primaries in N = 1, d = 4 superconformal field theories, Nucl. Phys. B 747 (2006) 329 [hep-th/0510060] [INSPIRE].
J. Kinney, J.M. Maldacena, S. Minwalla and S. Raju, An Index for 4 dimensional super conformal theories, Commun. Math. Phys. 275 (2007) 209 [hep-th/0510251] [INSPIRE].
B.I. Zwiebel, Charging the Superconformal Index, JHEP 01 (2012) 116 [arXiv:1111.1773] [INSPIRE].
B. Henning, X. Lu, T. Melia and H. Murayama, Operator bases, S-matrices, and their partition functions, JHEP 10 (2017) 199 [arXiv:1706.08520] [INSPIRE].
S. Komatsu, R. Mahajan and S.-H. Shao, An Index for Quantum Integrability, SciPost Phys. 7 (2019) 065 [arXiv:1907.07186] [INSPIRE].
C. Cordova and S.-H. Shao, Schur Indices, BPS Particles, and Argyres-Douglas Theories, JHEP 01 (2016) 040 [arXiv:1506.00265] [INSPIRE].
C. Cordova, D. Gaiotto and S.-H. Shao, Infrared Computations of Defect Schur Indices, JHEP 11 (2016) 106 [arXiv:1606.08429] [INSPIRE].
K. Iohara and Y. Koga, Central extensions of lie superalgebras, Comment. Math. Helv. 76 (2001) 110.
S. Komatsu, Three-point functions in \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory, arXiv:1710.03853 [https://doi.org/10.1093/oso/9780198828150.003.0010] [INSPIRE].
N. Berkovits, A Ten-dimensional superYang-Mills action with off-shell supersymmetry, Phys. Lett. B 318 (1993) 104 [hep-th/9308128] [INSPIRE].
V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, Commun. Math. Phys. 313 (2012) 71 [arXiv:0712.2824] [INSPIRE].
N. Beisert, The su(2|3) dynamic spin chain, Nucl. Phys. B 682 (2004) 487 [hep-th/0310252] [INSPIRE].
G. Arutyunov and S. Frolov, Foundations of the AdS5 × S5 Superstring. Part I, J. Phys. A 42 (2009) 254003 [arXiv:0901.4937] [INSPIRE].
T. Bargheer, F. Coronado and P. Vieira, Octagons I: Combinatorics and Non-Planar Resummations, JHEP 08 (2019) 162 [arXiv:1904.00965] [INSPIRE].
I. Kostov, V.B. Petkova and D. Serban, Determinant Formula for the Octagon Form Factor in N = 4 Supersymmetric Yang-Mills Theory, Phys. Rev. Lett. 122 (2019) 231601 [arXiv:1903.05038] [INSPIRE].
I. Kostov, V.B. Petkova and D. Serban, The Octagon as a Determinant, JHEP 11 (2019) 178 [arXiv:1905.11467] [INSPIRE].
A.V. Belitsky and G.P. Korchemsky, Exact null octagon, JHEP 05 (2020) 070 [arXiv:1907.13131] [INSPIRE].
T. Bargheer, F. Coronado and P. Vieira, Octagons II: Strong Coupling, arXiv:1909.04077 [INSPIRE].
B. Basso, L.J. Dixon and G. Papathanasiou, Origin of the Six-Gluon Amplitude in Planar N = 4 Supersymmetric Yang-Mills Theory, Phys. Rev. Lett. 124 (2020) 161603 [arXiv:2001.05460] [INSPIRE].
A.V. Belitsky and G.P. Korchemsky, Octagon at finite coupling, JHEP 07 (2020) 219 [arXiv:2003.01121] [INSPIRE].
A.V. Belitsky and G.P. Korchemsky, Crossing bridges with strong Szegő limit theorem, JHEP 04 (2021) 257 [arXiv:2006.01831] [INSPIRE].
A.V. Belitsky, Null octagon from Deift-Zhou steepest descent, Nucl. Phys. B 980 (2022) 115844 [arXiv:2012.10446] [INSPIRE].
I. Kostov and V.B. Petkova, Octagon with finite bridge: free fermions and determinant identities, JHEP 06 (2021) 098 [arXiv:2102.05000] [INSPIRE].
M.S. Costa, V. Goncalves and J. Penedones, Conformal Regge theory, JHEP 12 (2012) 091 [arXiv:1209.4355] [INSPIRE].
O. Antipin, J. Bersini, F. Sannino and M. Torres, The analytic structure of the fixed charge expansion, JHEP 06 (2022) 041 [arXiv:2202.13165] [INSPIRE].
S. Caron-Huot et al., The Double Pentaladder Integral to All Orders, JHEP 07 (2018) 170 [arXiv:1806.01361] [INSPIRE].
N. Arkani-Hamed, J. Henn and J. Trnka, Nonperturbative negative geometries: amplitudes at strong coupling and the amplituhedron, JHEP 03 (2022) 108 [arXiv:2112.06956] [INSPIRE].
P. Yang, Y. Jiang, S. Komatsu and J.-B. Wu, D-branes and orbit average, SciPost Phys. 12 (2022) 055 [arXiv:2103.16580] [INSPIRE].
Z. Bajnok, R.A. Janik and A. Wereszczyński, HHL correlators, orbit averaging and form factors, JHEP 09 (2014) 050 [arXiv:1404.4556] [INSPIRE].
M. Bianchi, S. Kovacs, G. Rossi and Y.S. Stanev, Anomalous dimensions in N = 4 SYM theory at order g4, Nucl. Phys. B 584 (2000) 216 [hep-th/0003203] [INSPIRE].
J. Caetano and T. Fleury, Three-point functions and \( \mathfrak{su} \)(1|1) spin chains, JHEP 09 (2014) 173 [arXiv:1404.4128] [INSPIRE].
F.A. Dolan and H. Osborn, Conformal four point functions and the operator product expansion, Nucl. Phys. B 599 (2001) 459 [hep-th/0011040] [INSPIRE].
D. Jafferis, B. Mukhametzhanov and A. Zhiboedov, Conformal Bootstrap At Large Charge, JHEP 05 (2018) 043 [arXiv:1710.11161] [INSPIRE].
C. Cordova et al., Vacuum Condensates on the Coulomb Branch, to appear.
G.K. Karananas and M. Shaposhnikov, CFT data and spontaneously broken conformal invariance, Phys. Rev. D 97 (2018) 045009 [arXiv:1708.02220] [INSPIRE].
D.J. Binder, S.M. Chester, S.S. Pufu and Y. Wang, \( \mathcal{N} \) = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization, JHEP 12 (2019) 119 [arXiv:1902.06263] [INSPIRE].
S.M. Chester et al., Modular invariance in superstring theory from \( \mathcal{N} \) = 4 super-Yang-Mills, JHEP 11 (2020) 016 [arXiv:1912.13365] [INSPIRE].
S.M. Chester and S.S. Pufu, Far beyond the planar limit in strongly-coupled \( \mathcal{N} \) = 4 SYM, JHEP 01 (2021) 103 [arXiv:2003.08412] [INSPIRE].
S.M. Chester et al., New modular invariants in \( \mathcal{N} \) = 4 Super-Yang-Mills theory, JHEP 04 (2021) 212 [arXiv:2008.02713] [INSPIRE].
D. Dorigoni, M.B. Green and C. Wen, Novel Representation of an Integrated Correlator in \( \mathcal{N} \) = 4 Supersymmetric Yang-Mills Theory, Phys. Rev. Lett. 126 (2021) 161601 arXiv:2102.08305] [INSPIRE].
D. Dorigoni, M.B. Green and C. Wen, Exact properties of an integrated correlator in \( \mathcal{N} \) = 4 SU(N) SYM, JHEP 05 (2021) 089 [arXiv:2102.09537] [INSPIRE].
S. Collier and E. Perlmutter, Harnessing S-duality in \( \mathcal{N} \) = 4 SYM & supergravity as SL(2, ℤ)-averaged strings, JHEP 08 (2022) 195 [arXiv:2201.05093] [INSPIRE].
Y. Hatsuda and K. Okuyama, Large N expansion of an integrated correlator in \( \mathcal{N} \) = 4 SYM, JHEP 11 (2022) 086 [arXiv:2208.01891] [INSPIRE].
H. Paul, E. Perlmutter and H. Raj, Integrated correlators in \( \mathcal{N} \) = 4 SYM via SL(2, ℤ) spectral theory, JHEP 01 (2023) 149 [arXiv:2209.06639] [INSPIRE].
A. Brown, C. Wen and H. Xie, Laplace-difference equation for integrated correlators of operators with general charges in \( \mathcal{N} \) = 4 SYM, JHEP 06 (2023) 066 [arXiv:2303.13195] [INSPIRE].
D. Dorigoni, M.B. Green, C. Wen and H. Xie, Modular-invariant large-N completion of an integrated correlator in \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory, JHEP 04 (2023) 114 [arXiv:2210.14038] [INSPIRE].
B. Fiol and Z. Kong, The planar limit of integrated 4-point functions, JHEP 07 (2023) 100 [arXiv:2303.09572] [INSPIRE].
F.A. Dolan and H. Osborn, Superconformal symmetry, correlation functions and the operator product expansion, Nucl. Phys. B 629 (2002) 3 [hep-th/0112251] [INSPIRE].
A.V. Belitsky, S. Hohenegger, G.P. Korchemsky and E. Sokatchev, N = 4 superconformal Ward identities for correlation functions, Nucl. Phys. B 904 (2016) 176 [arXiv:1409.2502] [INSPIRE].
M. Beccaria, G.P. Korchemsky and A.A. Tseytlin, Strong coupling expansion in \( \mathcal{N} \) = 2 superconformal theories and the Bessel kernel, JHEP 09 (2022) 226 [arXiv:2207.11475] [INSPIRE].
N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [hep-th/9407087] [INSPIRE].
E. Brezin and V.A. Kazakov, Exactly Solvable Field Theories of Closed Strings, Phys. Lett. B 236 (1990) 144 [INSPIRE].
M.R. Douglas and S.H. Shenker, Strings in Less Than One-Dimension, Nucl. Phys. B 335 (1990) 635 [INSPIRE].
D.J. Gross and A.A. Migdal, Nonperturbative Two-Dimensional Quantum Gravity, Phys. Rev. Lett. 64 (1990) 127 [INSPIRE].
S.M. Chester, Genus-2 holographic correlator on AdS5 × S5 from localization, JHEP 04 (2020) 193 [arXiv:1908.05247] [INSPIRE].
A. Cabo-Bizet, D. Cassani, D. Martelli and S. Murthy, Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes, JHEP 10 (2019) 062 [arXiv:1810.11442] [INSPIRE].
S. Choi, J. Kim, S. Kim and J. Nahmgoong, Large AdS black holes from QFT, arXiv:1810.12067 [INSPIRE].
F. Benini and E. Milan, Black Holes in 4D \( \mathcal{N} \) = 4 Super-Yang-Mills Field Theory, Phys. Rev. X 10 (2020) 021037 [arXiv:1812.09613] [INSPIRE].
L. Grant, P.A. Grassi, S. Kim and S. Minwalla, Comments on 1/16 BPS Quantum States and Classical Configurations, JHEP 05 (2008) 049 [arXiv:0803.4183] [INSPIRE].
S. Yokoyama, More on BPS States in \( \mathcal{N} \) = 4 Supersymmetric Yang-Mills Theory on R × S3, JHEP 12 (2014) 163 [arXiv:1406.6694] [INSPIRE].
G. Cuomo and Z. Komargodski, Giant Vortices and the Regge Limit, JHEP 01 (2023) 006 [arXiv:2210.15694] [INSPIRE].
G. Cuomo, OPE meets semiclassics, Phys. Rev. D 103 (2021) 085005 [arXiv:2103.01331] [INSPIRE].
L.F. Alday and J.M. Maldacena, Comments on operators with large spin, JHEP 11 (2007) 019 [arXiv:0708.0672] [INSPIRE].
E. Olivucci and P. Vieira, Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges, JHEP 07 (2022) 017 [arXiv:2111.12131] [INSPIRE].
E. Olivucci and P. Vieira, Null Polygons in Conformal Gauge Theory, Phys. Rev. Lett. 129 (2022) 221601 [arXiv:2205.04476] [INSPIRE].
L.F. Alday et al., From correlation functions to Wilson loops, JHEP 09 (2011) 123 [arXiv:1007.3243] [INSPIRE].
B. Basso, A. Sever and P. Vieira, Spacetime and Flux Tube S-Matrices at Finite Coupling for N = 4 Supersymmetric Yang-Mills Theory, Phys. Rev. Lett. 111 (2013) 091602 [arXiv:1303.1396] [INSPIRE].
J.L. Cardy, O.A. Castro-Alvaredo and B. Doyon, Form factors of branch-point twist fields in quantum integrable models and entanglement entropy, J. Statist. Phys. 130 (2008) 129 [arXiv:0706.3384] [INSPIRE].
A. Gadde, E. Pomoni and L. Rastelli, Spin Chains in \( \mathcal{N} \) = 2 Superconformal Theories: From the ℤ2 Quiver to Superconformal QCD, JHEP 06 (2012) 107 [arXiv:1006.0015] [INSPIRE].
P. Liendo, E. Pomoni and L. Rastelli, The Complete One-Loop Dilation Operator of N = 2 SuperConformal QCD, JHEP 07 (2012) 003 [arXiv:1105.3972] [INSPIRE].
E. Pomoni, Integrability in N = 2 superconformal gauge theories, Nucl. Phys. B 893 (2015) 21 [arXiv:1310.5709] [INSPIRE].
E. Pomoni, 4D \( \mathcal{N} \) = 2 SCFTs and spin chains, J. Phys. A 53 (2020) 283005 [arXiv:1912.00870] [INSPIRE].
E. Pomoni, R. Rabe and K. Zoubos, Dynamical spin chains in 4D \( \mathcal{N} \) = 2 SCFTs, JHEP 08 (2021) 127 [arXiv:2106.08449] [INSPIRE].
N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099] [INSPIRE].
N.I. Usyukina and A.I. Davydychev, Exact results for three and four point ladder diagrams with an arbitrary number of rungs, Phys. Lett. B 305 (1993) 136 [INSPIRE].
A.P. Isaev, Multiloop Feynman integrals and conformal quantum mechanics, Nucl. Phys. B 662 (2003) 461 [hep-th/0303056] [INSPIRE].
Acknowledgments
We thank Gabriel Cuomo, Nicola Dondi, Simeon Hellerman, Zohar Komargodski, Andrew McLeod, Domenico Orlando, Eric Perlmutter, Himanshu Raj, Susanne Reffert, Raffaele Savelli, Kostya Zarembo, Sasha Zhiboedov and Masataka Watanabe for helpful discussions. We in particular thank Eric Perlmutter for communicating to us the results of [55] prior to the publication. SK thanks the organizers and participants of the workshop “Large Charge in Les Diablerets” in SwissMAP Research Station for an opportunity to present this work and have stimulating discussions. The work of YW was supported in part by NSF grant PHY-2210420 and by the Simons Junior Faculty Fellows program.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2306.00929
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Caetano, J., Komatsu, S. & Wang, Y. Large charge ’t Hooft limit of \( \mathcal{N} \) = 4 super-Yang-Mills. J. High Energ. Phys. 2024, 47 (2024). https://doi.org/10.1007/JHEP02(2024)047
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2024)047