Integrable deformations in 2D dilaton gravity models

[1] F. A. Smirnov and A. B. Zamolodchikov, “On space of integrable quantum field theories,” Nucl. Phys. B 915 (2017) 363

[2] A. Cavagli`a, S. Negro, I. M. Sz´ecs´enyi and R. Tateo, “TT¯-deformed 2D Quantum Field Theories,” JHEP 1610 (2016) 112

[3] A. B. Zamolodchikov, “Expectation value of composite field T anti-T in two-dimensional quantum field theory,” hep-th/0401146.

[4] J. Cardy, “The TT deformation of quantum field theory as random geometry,” JHEP 1810 (2018) 186

[5] S. Dubovsky, V. Gorbenko and G. Hern´andez-Chifflet, “TT partition function from topological gravity,” JHEP 1809 (2018) 158

[6] D. J. Gross, J. Kruthoff, A. Rolph and E. Shaghoulian, “TT in AdS2 and Quantum Mechanics,” Phys. Rev. D 101 (2020) no.2, 026011

[7] E. A. Mazenc, V. Shyam and R. M. Soni, “A TT¯ Deformation for Curved Spacetimes from 3d Gravity,”

[8] M. Baggio, A. Sfondrini, G. Tartaglino-Mazzucchelli and H. Walsh, “On TT deformations and supersymmetry,” JHEP 1906 (2019) 063

[9] C. K. Chang, C. Ferko and S. Sethi, “Supersymmetry and TT deformations,” JHEP 1904, 131 (2019)

[10] H. Jiang, A. Sfondrini and G. Tartaglino-Mazzucchelli, “TT¯ deformations with N = (0, 2) supersymmetry,” arXiv:1904.04760

[11] C. K. Chang, C. Ferko, S. Sethi, A. Sfondrini and G. Tartaglino-Mazzucchelli, “TT¯ Flows and (2,2) Supersymmetry,” arXiv:1906.00467

[12] G. Bonelli, N. Doroud and M. Zhu, “TT¯-deformations in closed form,” JHEP 1806 (2018) 149

[13] Y. Jiang, “Lectures on solvable irrelevant deformations of 2d quantum field theory,” arXiv:1904.13376

[14] R. Conti, S. Negro and R. Tateo, “The TT perturbation and its geometric interpretation,” JHEP 1902 (2019) 085

[15] R. Conti, L. Iannella, S. Negro and R. Tateo, “Generalised Born-Infeld models, Lax operators and the TT perturbation,” JHEP 1811 (2018) 007

[16] L. Castillejo, R. H. Dalitz and F. J. Dyson, “Low’s scattering equation for the charged and neutral scalar theories,” Phys. Rev. 101 (1956) 453-458.

[17] S. Dubovsky, V. Gorbenko and M. Mirbabayi, “Asymptotic fragility, near AdS2 holography and TT,” JHEP 1709 (2017) 136

[18] R. Jackiw, “Lower Dimensional Gravity,” Nucl. Phys. B 252 (1985) 343-356.

[19] C. Teitelboim, “Gravitation and Hamiltonian Structure in Two Space-Time Dimensions,” Phys. Lett. B 126 (1983) 41-45.

[20] H. Kyono, S. Okumura and K. Yoshida, “Deformations of the Almheiri-Polchinski model,” JHEP 1703 (2017) 173

[21] S. Okumura and K. Yoshida, “Weyl transformation and regular solutions in a deformed Jackiw-Teitelboim model,” Nucl. Phys. B 933 (2018) 234

[22] T. Ishii, S. Okumura, J. Sakamoto and K. Yoshida, “Gravitational perturbations as TT¯-deformations in 2D dilaton gravity systems,” Nucl. Phys. B 951 (2020) 114901

[23] S. Okumura and K. Yoshida, “TT¯-deformation and Liouville gravity,” Nucl. Phys. B 957 (2020), 115083

[24] A. Almheiri and J. Polchinski, “Models of AdS2 backreaction and holography,” JHEP 1511 (2015) 014

[25] C. Klimcik, “Yang-Baxter sigma models and dS/AdS T duality,” JHEP 0212 (2002) 051

[26] F. Delduc, M. Magro and B. Vicedo, “On classical q-deformations of integrable sigma-models,” JHEP 1311 (2013) 192

[27] T. Matsumoto and K. Yoshida, “Yang-Baxter sigma models based on the CYBE,” Nucl. Phys. B 893 (2015) 287

[28] J. i. Sakamoto, “Integrable deformations of string sigma models and generalized supergravity,”

[29] D. Orlando, S. Reffert, J. i. Sakamoto, Y. Sekiguchi and K. Yoshida, “Yang–Baxter deformations and generalized supergravity—a short summary,” J. Phys. A 53 (2020) no.44, 443001

[30] L. McGough, M. Mezei and H. Verlinde, “Moving the CFT into the bulk with TT,” JHEP 1804 (2018) 010

[31] P. Kraus, J. Liu and D. Marolf, “Cutoff AdS3 versus the TT deformation,” JHEP 1807 (2018) 027

[32] V. Shyam, “Background independent holographic dual to TT¯ deformed CFT with large central charge in 2 dimensions,” JHEP 10 (2017), 108 doi:10.1007/JHEP10(2017)108

[33] W. Donnelly, E. LePage, Y. Y. Li, A. Pereira and V. Shyam, “Quantum corrections to finite radius holography and holographic entanglement entropy,” JHEP 05 (2020), 006

[34] B. Chen, L. Chen and P. X. Hao, “Entanglement entropy in TT-deformed CFT,” Phys. Rev. D 98 (2018) no.8, 086025

[35] H. S. Jeong, K. Y. Kim and M. Nishida, “Entanglement and R´enyi entropy of multiple intervals in TT-deformed CFT and holography,” Phys. Rev. D 100 (2019) no.10, 106015

[36] S. Grieninger, “Entanglement entropy and TT deformations beyond antipodal points from holography,” JHEP 11 (2019), 171

[37] B. Grado-White, D. Marolf and S. J. Weinberg, “Radial Cutoffs and Holographic Entanglement,”

[38] M. Guica and R. Monten, “TT¯ and the mirage of a bulk cutoff,”

[39] M. He and Y. h. Gao, “TT /J ¯ T¯-deformed WZW models from Chern-Simons AdS3 gravity with mixed boundary conditions,”

[40] S. Hirano and M. Shigemori, “Random Boundary Geometry and Gravity Dual of TT¯ Deformation,” arXiv:2003.06300

[41] S. Hirano, T. Nakajima and M. Shigemori,2 “TT¯ Deformation of Stress-Tensor Correlators from Random Geometry,”

[42] A. Giveon, N. Itzhaki and D. Kutasov, “TT and LST,” JHEP 1707, 122 (2017)

[43] A. Giveon, N. Itzhaki and D. Kutasov, “A solvable irrelevant deformation of AdS3/CFT2,” JHEP 12 (2017), 155

[44] O. Aharony, S. Datta, A. Giveon, Y. Jiang and D. Kutasov, “Modular invariance and uniqueness of TT¯ deformed CFT,” JHEP 01 (2019), 086

[45] S. Chakraborty, A. Giveon and D. Kutasov, “TT¯, JT¯, TJ¯ and String Theory,” J. Phys. A 52 (2019) no.38, 384003

[46] A. Hashimoto and D. Kutasov, “TT, JT , TJ partition sums from string theory,” JHEP 02 (2020), 080

[47] A. Hashimoto and D. Kutasov, “Strings, symmetric products, TT¯ deformations and Hecke operators,” Phys. Lett. B 806 (2020), 135479

[48] S. Chakraborty, A. Giveon and D. Kutasov, “Strings in irrelevant deformations of AdS3/CFT2,” JHEP 11 (2020), 057

[49] S. Chakraborty, A. Giveon and D. Kutasov, “TT, black holes and negative strings,” JHEP 09 (2020), 057

[50] T. Araujo, E. O. Colg´ain, Y. Sakatani, M. M. Sheikh-Jabbari and H. Yavartanoo, “Holo- ´ graphic integration of TT¯ & JT¯ via O(d, d),” JHEP 1903 (2019) 168

[51] R. Borsato and L. Wulff, “Marginal deformations of WZW models and the classical Yang-Baxter equation,” J. Phys. A 52 (2019) no.22, 225401

[52] M. Baggio and A. Sfondrini, “Strings on NS-NS Backgrounds as Integrable Deformations,” Phys. Rev. D 98 (2018) no.2, 021902

[53] A. Dei and A. Sfondrini, “Integrable spin chain for stringy Wess-Zumino-Witten models,” JHEP 1807 (2018) 109

[54] A. Sfondrini and S. J. van Tongeren, “TT¯ deformations as TsT transformations,” Phys. Rev. D 101 (2020) no.6, 066022

[55] L. Apolo and W. Song, “Heating up holography for single-trace JT¯ deformations,” JHEP 01 (2020), 141

[56] L. Apolo, S. Detournay and W. Song, “TsT, TT¯ and black strings,” JHEP 06 (2020), 109

[57] D. Grumiller, W. Kummer and D. V. Vassilevich, “Dilaton gravity in two-dimensions,” Phys. Rept. 369 (2002) 327

[58] S. Nojiri and S. D. Odintsov, “Quantum dilatonic gravity in d = 2, 4 and 5 dimensions,” Int. J. Mod. Phys. A 16 (2001) 1015

[59] J. Maldacena, D. Stanford and Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,” PTEP 2016 (2016) no.12, 12C104

[60] J. Engels¨oy, T. G. Mertens and H. Verlinde, “An investigation of AdS2 backreaction and holography,” JHEP 07 (2016), 139

[61] K. Costello, E. Witten and M. Yamazaki, “Gauge Theory and Integrability, I,” ICCM Not. 06 (2018) no.1, 46-119

[62] F. Delduc, S. Lacroix, M. Magro and B. Vicedo, “A unifying 2d action for integrable σ-models from 4d Chern-Simons theory,”

[63] O. Fukushima, J. i. Sakamoto and K. Yoshida, “The Faddeev-Reshetikhin model from a 4D Chern-Simons theory,”

[64] O. Fukushima, J. i. Sakamoto and K. Yoshida, “Yang-Baxter deformations of the AdS5×S 5 supercoset sigma model from 4D Chern-Simons theory,” JHEP 09 (2020), 100

[65] O. Fukushima, J. i. Sakamoto and K. Yoshida, “Comments on η-deformed principal chiral model from 4D Chern-Simons theory,” Nucl. Phys. B 957 (2020), 115080

[66] A. Borowiec, H. Kyono, J. Lukierski, J. Sakamoto and K. Yoshida, “Yang-Baxter sigma models and Lax pairs arising from κ-Poincar´e r-matrices,” JHEP 1604 (2016) 079

[67] I. Kawaguchi and K. Yoshida, “Hybrid classical integrability in squashed sigma models,” Phys. Lett. B 705 (2011) 251

[68] N. Ikeda and K. I. Izawa, “General form of dilaton gravity and nonlinear gauge theory,” Prog. Theor. Phys. 90 (1993) 237

[69] F. Delduc, M. Magro and B. Vicedo, “An integrable deformation of the AdS5×S 5 superstring action,” Phys. Rev. Lett. 112 (2014) 051601

[70] B. Vicedo, “Deformed integrable σ-models, classical R-matrices and classical exchange algebra on Drinfel ’d doubles,” J. Phys. A 48 (2015) no. 35, 355203

[71] G. Arutyunov, R. Borsato and S. Frolov, “S-matrix for strings on η-deformed AdS5×S 5 ,” JHEP 1404 (2014) 002

[72] T. Kameyama and K. Yoshida, “A new coordinate system for q-deformed AdS5×S 5 and classical string solutions,” J. Phys. A 48 (2015) 7, 075401

[73] M. Cvetiˇc and I. Papadimitriou, “AdS2 holographic dictionary,” JHEP 1612 (2016) 008

[74] V. P. Frolov and A. Zelnikov, “On the Liouville 2D dilaton gravity models with sinhGordon matter,” arXiv:1712.07700

[75] D. Grumiller and R. Jackiw, “Liouville gravity from Einstein gravity,” Recent developments in theoretical physics, S. Gosh, G. Kar, 2010. World Scientific, Singapore,2010, p.331

[76] J. Maldacena, G. J. Turiaci and Z. Yang, “Two dimensional Nearly de Sitter gravity,” arXiv:1904.01911

[77] J. Cotler, K. Jensen and A. Maloney, “Low-dimensional de Sitter quantum gravity,” arXiv:1905.03780

[78] V. Gorbenko, E. Silverstein and G. Torroba, “dS/dS and TT,” JHEP 1903 (2019) 085

[79] S. Dubovsky, R. Flauger and V. Gorbenko, “Solving the Simplest Theory of Quantum Gravity,” JHEP 1209 (2012) 133

[80] S. Dubovsky, V. Gorbenko and M. Mirbabayi, “Natural Tuning: Towards A Proof of Concept,” JHEP 1309 (2013) 045

[81] S. Sachdev and J.-w. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett. 70 (1993) 3339. A. Kitaev, “A simple model of quantum holography.” http://online.kitp.ucsb.edu/online/entangled15/kitaev/ http://online.kitp.ucsb.edu/online/entangled15/kitaev2/ Talks at KITP, April 7, 2015 and May 27, 2015.

[82] J. Polchinski and V. Rosenhaus, “The Spectrum in the Sachdev-Ye-Kitaev Model,” JHEP 1604 (2016) 001

[83] J. Maldacena and D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94 (2016) no. 10, 106002

[84] D. J. Gross and V. Rosenhaus, “All point correlation functions in SYK,” arXiv:1710.08113

[85] G. S´arosi, “AdS2 holography and the SYK model,” arXiv:1711.08482

[86] D. J. Gross and V. Rosenhaus, “A Generalization of Sachdev-Ye-Kitaev,” arXiv:1610.01569

[87] W. Fu, D. Gaiotto, J. Maldacena and S. Sachdev, “Supersymmetric SYK models,” Phys. Rev. D 95 (2017) no.2, 026009

[88] E. Witten, “An SYK-Like Model Without Disorder,” arXiv:1610.09758

[89] T. Nishinaka and S. Terashima, “A Note on Sachdev-Ye-Kitaev Like Model without Random Coupling,” arXiv:1611.10290

[90] I. R. Klebanov and G. Tarnopolsky, “Uncolored Random Tensors, Melon Diagrams, and the SYK Models,” arXiv:1611.08915

[91] D. J. Gross and V. Rosenhaus, “A line of CFTs: from generalized free fields to SYK,” JHEP 1707, 086 (2017)

[92] P. Saad, S. H. Shenker and D. Stanford, “JT gravity as a matrix integral,”

[93] D. Stanford and E. Witten, “JT Gravity and the Ensembles of Random Matrix Theory,”

[94] D. Stanford and Z. Yang, “Finite-cutoff JT gravity and self-avoiding loops,”

[95] E. Witten, “Deformations of JT Gravity and Phase Transitions,”

[96] E. Witten, “Matrix Models and Deformations of JT Gravity,”

[97] T. G. Mertens and G. J. Turiaci, “Liouville quantum gravity – holography, JT and matrices,”

[98] T. G. Mertens, “Degenerate operators in JT and Liouville (super)gravity,”

[99] N. Callebaut, J. Kruthoff and H. Verlinde, “TT¯ deformed CFT as a non-critical string,” arXiv:1910.13578

[100] A. J. Tolley, “TT¯ Deformations, Massive Gravity and Non-Critical Strings,” arXiv:1911.06142

[101] J. Haruna, T. Ishii, H. Kawai, K. Sakai and K. Yoshida, “Large N Analysis of TT¯- deformation and Unavoidable Negative-norm States,” arXiv:2002.01414