Abstract
We propose a new dual description of four-dimensional \( \mathcal{N} \) = 1 SU(N) gauge theory with one adjoint (X) and Nf fundamental matters with a superpotential W = TrXp+1. The dual theory consists of the \( \mathcal{D} \)p[SU(N)] Argyres-Douglas theory coupled to SU(N) gauge theory and Nf fundamentals with a superpotential deformation. We study renormalization group fixed points of the Argyres-Douglas dual theories with and without superpotential deformations, and identify the conditions for them to be dual to the fixed points of adjoint SQCD. We check our proposal via matching central charges, chiral operators and superconformal indices. We find that when Nf = 2N and p = 2, the dual theory flows to \( \mathcal{N} \) = 2 SU(N) superconformal QCD with 2N flavors upon suitable superpotential deformation, exhibiting supersymmetry enhancement.
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References
N. Seiberg, Electric-magnetic duality in supersymmetric nonAbelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149] [INSPIRE].
D. Kutasov, A Comment on duality in N = 1 supersymmetric nonAbelian gauge theories, Phys. Lett. B 351 (1995) 230 [hep-th/9503086] [INSPIRE].
D. Kutasov and A. Schwimmer, On duality in supersymmetric Yang-Mills theory, Phys. Lett. B 354 (1995) 315 [hep-th/9505004] [INSPIRE].
D. Kutasov, A. Schwimmer and N. Seiberg, Chiral rings, singularity theory and electric-magnetic duality, Nucl. Phys. B 459 (1996) 455 [hep-th/9510222] [INSPIRE].
K.A. Intriligator and B. Wecht, RG fixed points and flows in SQCD with adjoints, Nucl. Phys. B 677 (2004) 223 [hep-th/0309201] [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].
D. Xie, General Argyres-Douglas Theory, JHEP 01 (2013) 100 [arXiv:1204.2270] [INSPIRE].
S. Cecotti and M. Del Zotto, Infinitely many N = 2 SCFT with ADE flavor symmetry, JHEP 01 (2013) 191 [arXiv:1210.2886] [INSPIRE].
S. Cecotti, M. Del Zotto and S. Giacomelli, More on the N = 2 superconformal systems of type Dp(G), JHEP 04 (2013) 153 [arXiv:1303.3149] [INSPIRE].
G. Bonelli, K. Maruyoshi and A. Tanzini, Wild Quiver Gauge Theories, JHEP 02 (2012) 031 [arXiv:1112.1691] [INSPIRE].
Y. Wang and D. Xie, Classification of Argyres-Douglas theories from M5 branes, Phys. Rev. D 94 (2016) 065012 [arXiv:1509.00847] [INSPIRE].
S. Bolognesi, S. Giacomelli and K. Konishi, \( \mathcal{N} \) = 2 Argyres-Douglas theories, \( \mathcal{N} \) = 1 SQCD and Seiberg duality, JHEP 08 (2015) 131 [arXiv:1505.05801] [INSPIRE].
D. Xie and W. Yan, A study of \( \mathcal{N} \) = 1 SCFT derived from \( \mathcal{N} \) = 2 SCFT: index and chiral ring, JHEP 03 (2023) 201 [arXiv:2109.04090] [INSPIRE].
M.J. Kang, C. Lawrie, K.-H. Lee and J. Song, Emergent N = 4 Supersymmetry from N = 1, Phys. Rev. Lett. 130 (2023) 231601 [arXiv:2302.06622] [INSPIRE].
S. Bajeot, S. Benvenuti and M. Sacchi, S-confining gauge theories and supersymmetry enhancements, JHEP 08 (2023) 042 [arXiv:2305.10274] [INSPIRE].
D. Xie, W. Yan and S.-T. Yau, Chiral algebra of the Argyres-Douglas theory from M5 branes, Phys. Rev. D 103 (2021) 065003 [arXiv:1604.02155] [INSPIRE].
J. Song, D. Xie and W. Yan, Vertex operator algebras of Argyres-Douglas theories from M5-branes, JHEP 12 (2017) 123 [arXiv:1706.01607] [INSPIRE].
M. Buican, Z. Laczko and T. Nishinaka, \( \mathcal{N} \) = 2 S-duality revisited, JHEP 09 (2017) 087 [arXiv:1706.03797] [INSPIRE].
M. Buican and Z. Laczko, Nonunitary Lagrangians and unitary non-Lagrangian conformal field theories, Phys. Rev. Lett. 120 (2018) 081601 [arXiv:1711.09949] [INSPIRE].
A. Gadde, S.S. Razamat and B. Willett, “Lagrangian” for a Non-Lagrangian Field Theory with \( \mathcal{N} \) = 2 Supersymmetry, Phys. Rev. Lett. 115 (2015) 171604 [arXiv:1505.05834] [INSPIRE].
K. Maruyoshi and J. Song, Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index, Phys. Rev. Lett. 118 (2017) 151602 [arXiv:1606.05632] [INSPIRE].
K. Maruyoshi and J. Song, \( \mathcal{N} \) = 1 deformations and RG flows of \( \mathcal{N} \) = 2 SCFTs, JHEP 02 (2017) 075 [arXiv:1607.04281] [INSPIRE].
P. Agarwal, K. Maruyoshi and J. Song, \( \mathcal{N} \) = 1 Deformations and RG flows of \( \mathcal{N} \) = 2 SCFTs, part II: non-principal deformations, JHEP 12 (2016) 103 [Addendum ibid. 04 (2017) 113] [arXiv:1610.05311] [INSPIRE].
P. Agarwal, A. Sciarappa and J. Song, \( \mathcal{N} \) = 1 Lagrangians for generalized Argyres-Douglas theories, JHEP 10 (2017) 211 [arXiv:1707.04751] [INSPIRE].
S. Benvenuti and S. Giacomelli, Lagrangians for generalized Argyres-Douglas theories, JHEP 10 (2017) 106 [arXiv:1707.05113] [INSPIRE].
P. Agarwal, K. Maruyoshi and J. Song, A “Lagrangian” for the E7 superconformal theory, JHEP 05 (2018) 193 [arXiv:1802.05268] [INSPIRE].
S.S. Razamat and G. Zafrir, N = 1 conformal dualities, JHEP 09 (2019) 046 [arXiv:1906.05088] [INSPIRE].
G. Zafrir, An \( \mathcal{N} \) = 1 Lagrangian for the rank 1 E6 superconformal theory, JHEP 12 (2020) 098 [arXiv:1912.09348] [INSPIRE].
S.S. Razamat and G. Zafrir, \( \mathcal{N} \) = 1 conformal duals of gauged En MN models, JHEP 06 (2020) 176 [arXiv:2003.01843] [INSPIRE].
G. Zafrir, An \( \mathcal{N} \) = 1 Lagrangian for an \( \mathcal{N} \) = 3 SCFT, JHEP 01 (2021) 062 [arXiv:2007.14955] [INSPIRE].
I.G. Etxebarria, B. Heidenreich, M. Lotito and A.K. Sorout, Deconfining \( \mathcal{N} \) = 2 SCFTs or the art of brane bending, JHEP 03 (2022) 140 [arXiv:2111.08022] [INSPIRE].
J.H. Brodie, Duality in supersymmetric SU(Nc) gauge theory with two adjoint chiral superfields, Nucl. Phys. B 478 (1996) 123 [hep-th/9605232] [INSPIRE].
D. Kutasov and J. Lin, Exceptional N = 1 Duality, arXiv:1401.4168 [INSPIRE].
K. Intriligator and E. Nardoni, Deformations of WA,D,E SCFTs, JHEP 09 (2016) 043 [arXiv:1604.04294] [INSPIRE].
D. Kutasov, A. Parnachev and D.A. Sahakyan, Central charges and U(1)R symmetries in N=1 superYang-Mills, JHEP 11 (2003) 013 [hep-th/0308071] [INSPIRE].
P. Agarwal and J. Song, Large N Gauge Theories with a Dense Spectrum and the Weak Gravity Conjecture, JHEP 05 (2021) 124 [arXiv:1912.12881] [INSPIRE].
P. Agarwal, K.-H. Lee and J. Song, Classification of large N superconformal gauge theories with a dense spectrum, JHEP 10 (2021) 049 [arXiv:2007.16165] [INSPIRE].
D. Anselmi, D.Z. Freedman, M.T. Grisaru and A.A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories, Nucl. Phys. B 526 (1998) 543 [hep-th/9708042] [INSPIRE].
K.A. Intriligator and B. Wecht, The Exact superconformal R symmetry maximizes a, Nucl. Phys. B 667 (2003) 183 [hep-th/0304128] [INSPIRE].
P. Agarwal, S. Lee and J. Song, Vanishing OPE Coefficients in 4d N = 2 SCFTs, JHEP 06 (2019) 102 [arXiv:1812.04743] [INSPIRE].
C. Closset, S. Giacomelli, S. Schafer-Nameki and Y.-N. Wang, 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities, JHEP 05 (2021) 274 [arXiv:2012.12827] [INSPIRE].
M. Buican and T. Nishinaka, \( \mathcal{N} \) = 4 SYM, Argyres-Douglas theories, and an exact graded vector space isomorphism, JHEP 04 (2022) 028 [arXiv:2012.13209] [INSPIRE].
M.J. Kang, C. Lawrie and J. Song, Infinitely many 4D N = 2 SCFTs with a = c and beyond, Phys. Rev. D 104 (2021) 105005 [arXiv:2106.12579] [INSPIRE].
M.J. Kang, C. Lawrie, K.-H. Lee and J. Song, Infinitely many 4D N = 1 SCFTs with a = c, Phys. Rev. D 105 (2022) 126006 [arXiv:2111.12092] [INSPIRE].
K. Maruyoshi, E. Nardoni and J. Song, Landscape of Simple Superconformal Field Theories in 4d, Phys. Rev. Lett. 122 (2019) 121601 [arXiv:1806.08353] [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].
A. Gadde, K. Maruyoshi, Y. Tachikawa and W. Yan, New N = 1 Dualities, JHEP 06 (2013) 056 [arXiv:1303.0836] [INSPIRE].
M. Buican and T. Nishinaka, Small deformation of a simple \( \mathcal{N} \) = 2 superconformal theory, Phys. Rev. D 94 (2016) 125002 [arXiv:1602.05545] [INSPIRE].
R.G. Leigh and M.J. Strassler, Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory, Nucl. Phys. B 447 (1995) 95 [hep-th/9503121] [INSPIRE].
D. Green et al., Exactly Marginal Deformations and Global Symmetries, JHEP 06 (2010) 106 [arXiv:1005.3546] [INSPIRE].
D. Gaiotto, N = 2 dualities, JHEP 08 (2012) 034 [arXiv:0904.2715] [INSPIRE].
D. Gaiotto, G.W. Moore and A. Neitzke, Wall-crossing, Hitchin systems, and the WKB approximation, Adv. Math. 234 (2013) 239 [arXiv:0907.3987] [INSPIRE].
I. Bah, C. Beem, N. Bobev and B. Wecht, AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces, Phys. Rev. D 85 (2012) 121901 [arXiv:1112.5487] [INSPIRE].
I. Bah, C. Beem, N. Bobev and B. Wecht, Four-Dimensional SCFTs from M5-Branes, JHEP 06 (2012) 005 [arXiv:1203.0303] [INSPIRE].
P. Agarwal, I. Bah, K. Maruyoshi and J. Song, Quiver tails and \( \mathcal{N} \) = 1 SCFTs from M5-branes, JHEP 03 (2015) 049 [arXiv:1409.1908] [INSPIRE].
D. Gaiotto and J. Teschner, Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories, I, JHEP 12 (2012) 050 [arXiv:1203.1052] [INSPIRE].
H. Kanno, K. Maruyoshi, S. Shiba and M. Taki, \( \mathcal{W} \)3 irregular states and isolated \( \mathcal{N} \) = 2 superconformal field theories, JHEP 03 (2013) 147 [arXiv:1301.0721] [INSPIRE].
I. Bah, F. Bonetti, R. Minasian and E. Nardoni, Holographic Duals of Argyres-Douglas Theories, Phys. Rev. Lett. 127 (2021) 211601 [arXiv:2105.11567] [INSPIRE].
I. Bah, F. Bonetti, R. Minasian and E. Nardoni, M5-brane sources, holography, and Argyres-Douglas theories, JHEP 11 (2021) 140 [arXiv:2106.01322] [INSPIRE].
E. Barnes, K.A. Intriligator, B. Wecht and J. Wright, Evidence for the strongest version of the 4d a-theorem, via a-maximization along RG flows, Nucl. Phys. B 702 (2004) 131 [hep-th/0408156] [INSPIRE].
C. Beem and A. Gadde, The N = 1 superconformal index for class S fixed points, JHEP 04 (2014) 036 [arXiv:1212.1467] [INSPIRE].
M. Evtikhiev, Studying superconformal symmetry enhancement through indices, JHEP 04 (2018) 120 [arXiv:1708.08307] [INSPIRE].
S.M. Kuzenko and S. Theisen, Correlation functions of conserved currents in N = 2 superconformal theory, Class. Quant. Grav. 17 (2000) 665 [hep-th/9907107] [INSPIRE].
S. Cecotti, A. Neitzke and C. Vafa, R-Twisting and 4d/2d Correspondences, arXiv:1006.3435 [INSPIRE].
P.C. Argyres, K. Maruyoshi and Y. Tachikawa, Quantum Higgs branches of isolated N = 2 superconformal field theories, JHEP 10 (2012) 054 [arXiv:1206.4700] [INSPIRE].
Acknowledgments
We thank Mykola Dedushenko, Monica Kang, Craig Lawrie and Ki-Hong Lee for helpful discussions. The work of KM is supported in part by JSPS Grant-in-Aid for Scientific Research No. 20K03935. The work of EN is supported in part by World Premier International Research Center Initiative (WPI), MEXT, Japan. The work of JS is supported in part by National Research Foundation of Korea Grant No. RS-2023-00208602 and also by POSCO Science Fellowship of POSCO TJ Park Foundation. JS and EN thank Seikei University for the hospitality where this work was conceived.
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Maruyoshi, K., Nardoni, E. & Song, J. Dualities of adjoint SQCD and supersymmetry enhancement. J. High Energ. Phys. 2023, 82 (2023). https://doi.org/10.1007/JHEP09(2023)082
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DOI: https://doi.org/10.1007/JHEP09(2023)082