Abstract
In the AdS/CFT correspondence, single trace operators of large-N gauge theories at large spin J can be described by classical spinning strings, giving a geometric and classical description of their spectrum at strong coupling. We observe that in AdS3 these strings have significant gravitational back-reaction at sufficiently large spin, since the gravitational force does not decay at long distances. We construct solutions for folded spinning strings coupled to gravity in AdS3 and compute their spectrum, corresponding to the leading Regge trajectory of Virasroro primary operators. These solutions exist only below a maximal spin J < Jmax, and as J → Jmax the solution approaches an extremal rotating BTZ black hole.
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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, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, A semiclassical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051] [INSPIRE].
D.J. Gross and F. Wilczek, Asymptotically free gauge theories. 2, Phys. Rev. D 9 (1974) 980 [INSPIRE].
H. Georgi and H.D. Politzer, Electroproduction scaling in an asymptotically free theory of strong interactions, Phys. Rev. D 9 (1974) 416 [INSPIRE].
L. Susskind, Some speculations about black hole entropy in string theory, hep-th/9309145 [INSPIRE].
M.J. Bowick, L. Smolin and L.C.R. Wijewardhana, Role of string excitations in the last stages of black hole evaporation, Phys. Rev. Lett. 56 (1986) 424 [INSPIRE].
G.T. Horowitz and J. Polchinski, A correspondence principle for black holes and strings, Phys. Rev. D 55 (1997) 6189 [hep-th/9612146] [INSPIRE].
A. Giveon and D. Kutasov, Fundamental strings and black holes, JHEP 01 (2007) 071 [hep-th/0611062] [INSPIRE].
Y. Chen, J. Maldacena and E. Witten, On the black hole/string transition, arXiv:2109.08563 [INSPIRE].
M. Kruczenski, Spiky strings and single trace operators in gauge theories, JHEP 08 (2005) 014 [hep-th/0410226] [INSPIRE].
J. Plefka, Spinning strings and integrable spin chains in the AdS/CFT correspondence, Living Rev. Rel. 8 (2005) 9 [hep-th/0507136] [INSPIRE].
A. Jevicki, K. Jin, C. Kalousios and A. Volovich, Generating AdS string solutions, JHEP 03 (2008) 032 [arXiv:0712.1193] [INSPIRE].
A. Jevicki and K. Jin, Moduli dynamics of AdS3 strings, JHEP 06 (2009) 064 [arXiv:0903.3389] [INSPIRE].
N. Callebaut, S.S. Gubser, A. Samberg and C. Toldo, Segmented strings in AdS3, JHEP 11 (2015) 110 [arXiv:1508.07311] [INSPIRE].
D. Vegh, The broken string in anti-de Sitter space, JHEP 02 (2018) 045 [arXiv:1508.06637] [INSPIRE].
J.R. David and A. Sadhukhan, Spinning strings and minimal surfaces in AdS3 with mixed 3-form fluxes, JHEP 10 (2014) 049 [arXiv:1405.2687] [INSPIRE].
A. Banerjee and A. Sadhukhan, Multi-spike strings in AdS3 with mixed three-form fluxes, JHEP 05 (2016) 083 [arXiv:1512.01816] [INSPIRE].
J. Kim and M. Porrati, Long string dynamics in pure gravity on AdS3, J. Exp. Theor. Phys. 120 (2015) 477 [arXiv:1410.3424] [INSPIRE].
J. Kim and M. Porrati, More on long string dynamics in gravity on AdS3: spinning strings and rotating BTZ black holes, Phys. Rev. D 91 (2015) 124061 [arXiv:1503.06875] [INSPIRE].
W. Israel, Singular hypersurfaces and thin shells in general relativity, Nuovo Cim. B 44S10 (1966) 1 [Erratum ibid. 48 (1967) 463] [INSPIRE].
S. Collier, Y. Gobeil, H. Maxfield and E. Perlmutter, Quantum Regge trajectories and the Virasoro analytic bootstrap, JHEP 05 (2019) 212 [arXiv:1811.05710] [INSPIRE].
J.D. Brown and M. Henneaux, Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity, Commun. Math. Phys. 104 (1986) 207 [INSPIRE].
M. Bañados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2 + 1) black hole, Phys. Rev. D 48 (1993) 1506 [Erratum ibid. 88 (2013) 069902] [gr-qc/9302012] [INSPIRE].
A. Ghosh, H. Maxfield and G.J. Turiaci, A universal Schwarzian sector in two-dimensional conformal field theories, JHEP 05 (2020) 104 [arXiv:1912.07654] [INSPIRE].
K. Jensen, Chaos in AdS2 holography, Phys. Rev. Lett. 117 (2016) 111601 [arXiv:1605.06098] [INSPIRE].
J. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two dimensional nearly anti-de-Sitter space, PTEP 2016 (2016) 12C104 [arXiv:1606.01857] [INSPIRE].
J. Engelsöy, T.G. Mertens and H. Verlinde, An investigation of AdS2 backreaction and holography, JHEP 07 (2016) 139 [arXiv:1606.03438] [INSPIRE].
P. Saad, S.H. Shenker and D. Stanford, JT gravity as a matrix integral, arXiv:1903.11115 [INSPIRE].
H. Maxfield and G.J. Turiaci, The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral, JHEP 01 (2021) 118 [arXiv:2006.11317] [INSPIRE].
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
Y. Kusuki, Light cone bootstrap in general 2D CFTs and entanglement from light cone singularity, JHEP 01 (2019) 025 [arXiv:1810.01335] [INSPIRE].
S. Collier, A. Maloney, H. Maxfield and I. Tsiares, Universal dynamics of heavy operators in CFT2, JHEP 07 (2020) 074 [arXiv:1912.00222] [INSPIRE].
A.L. Fitzpatrick, J. Kaplan, D. Poland and D. Simmons-Duffin, The analytic bootstrap and AdS superhorizon locality, JHEP 12 (2013) 004 [arXiv:1212.3616] [INSPIRE].
Z. Komargodski and A. Zhiboedov, Convexity and liberation at large spin, JHEP 11 (2013) 140 [arXiv:1212.4103] [INSPIRE].
N. Afkhami-Jeddi, K. Colville, T. Hartman, A. Maloney and E. Perlmutter, Constraints on higher spin CFT2, JHEP 05 (2018) 092 [arXiv:1707.07717] [INSPIRE].
S. Collier, Y.-H. Lin and X. Yin, Modular bootstrap revisited, JHEP 09 (2018) 061 [arXiv:1608.06241] [INSPIRE].
H. Maxfield, Quantum corrections to the BTZ black hole extremality bound from the conformal bootstrap, JHEP 12 (2019) 003 [arXiv:1906.04416] [INSPIRE].
A. Belin, N. Benjamin, A. Castro, S.M. Harrison and C.A. Keller, N = 2 minimal models: a holographic needle in a symmetric orbifold haystack, SciPost Phys. 8 (2020) 084 [arXiv:2002.07819] [INSPIRE].
M.R. Gaberdiel, C. Peng and I.G. Zadeh, Higgsing the stringy higher spin symmetry, JHEP 10 (2015) 101 [arXiv:1506.02045] [INSPIRE].
A. Giveon, D. Kutasov and N. Seiberg, Comments on string theory on AdS3, Adv. Theor. Math. Phys. 2 (1998) 733 [hep-th/9806194] [INSPIRE].
J.M. Maldacena and H. Ooguri, Strings in AdS3 and SL(2, R) WZW model 1: the spectrum, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053] [INSPIRE].
A. Loewy and Y. Oz, Large spin strings in AdS3, Phys. Lett. B 557 (2003) 253 [hep-th/0212147] [INSPIRE].
S. Frolov and A.A. Tseytlin, Semiclassical quantization of rotating superstring in AdS5 × S5, JHEP 06 (2002) 007 [hep-th/0204226] [INSPIRE].
A.A. Tseytlin, Semiclassical quantization of superstrings: AdS5 × S5 and beyond, Int. J. Mod. Phys. A 18 (2003) 981 [hep-th/0209116] [INSPIRE].
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Maxfield, H., Wang, Z. Gravitating spinning strings in AdS3. J. High Energ. Phys. 2022, 75 (2022). https://doi.org/10.1007/JHEP07(2022)075
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DOI: https://doi.org/10.1007/JHEP07(2022)075