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Modular transformations of on-shell actions of (root-)$\text{T}\overline{\text{T}}$ deformed holographic CFTs

Published 25 Apr 2024 in hep-th | (2404.16354v3)

Abstract: In this study, we examine the modular transformations of the (root-)$\text{T}\overline{\text{T}}$ deformed torus partition function of a two-dimensional CFT (with a gravitational anomaly) from the holographic perspective by computing the on-shell actions of various saddle solutions of the dual gravity theories.

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References (105)
  1. A. B. Zamolodchikov, “Expectation value of composite field T anti-T in two-dimensional quantum field theory,” [arXiv:hep-th/0401146 [hep-th]].
  2. F. A. Smirnov and A. B. Zamolodchikov, “On space of integrable quantum field theories,” Nucl. Phys. B 915, 363-383 (2017) [arXiv:1608.05499 [hep-th]].
  3. A. Cavaglià, S. Negro, I. M. Szécsényi and R. Tateo, “T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG-deformed 2D Quantum Field Theories,” JHEP 10, 112 (2016) [arXiv:1608.05534 [hep-th]].
  4. S. Dubovsky, V. Gorbenko and M. Mirbabayi, “Asymptotic fragility, near AdS2 holography and T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG,” JHEP 09, 136 (2017) [arXiv:1706.06604 [hep-th]].
  5. G. Bonelli, N. Doroud and M. Zhu, “T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG-deformations in closed form,” JHEP 06, 149 (2018) doi:10.1007/JHEP06(2018)149 [arXiv:1804.10967 [hep-th]].
  6. B. Chen, J. Hou and J. Tian, “Note on the nonrelativistic T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformation,” Phys. Rev. D 104, no.2, 025004 (2021) [arXiv:2012.14091 [hep-th]].
  7. R. Conti, L. Iannella, S. Negro and R. Tateo, “Generalised Born-Infeld models, Lax operators and the T⁢T¯T¯T\mathrm{T}\overline{\mathrm{T}}roman_T over¯ start_ARG roman_T end_ARG perturbation,” JHEP 11, 007 (2018) doi:10.1007/JHEP11(2018)007 [arXiv:1806.11515 [hep-th]].
  8. B. Chen, J. Hou and J. Tian, “Lax connections in T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG-deformed integrable field theories,” Chin. Phys. C 45, no.9, 093112 (2021) doi:10.1088/1674-1137/ac0ee4 [arXiv:2102.01470 [hep-th]].
  9. A. Dey and A. Fortinsky, “Perturbative renormalization of the T⁢T¯T¯T\mathrm{T}\overline{\mathrm{T}}roman_T over¯ start_ARG roman_T end_ARG-deformed free massive Dirac fermion,” JHEP 12, 200 (2021) [arXiv:2109.10525 [hep-th]].
  10. P. Kraus, J. Liu and D. Marolf, “Cutoff AdS3 versus the T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG deformation,” JHEP 07, 027 (2018) doi:10.1007/JHEP07(2018)027 [arXiv:1801.02714 [hep-th]].
  11. M. Guica, “On correlation functions in J⁢T¯𝐽¯𝑇J\bar{T}italic_J over¯ start_ARG italic_T end_ARG-deformed CFTs,” J. Phys. A 52, no.18, 184003 (2019) doi:10.1088/1751-8121/ab0ef3 [arXiv:1902.01434 [hep-th]].
  12. J. Cardy, “T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformation of correlation functions,” JHEP 19, 160 (2020) [arXiv:1907.03394 [hep-th]].
  13. S. He and H. Shu, “Correlation functions, entanglement and chaos in the T⁢T¯/J⁢T¯𝑇¯𝑇𝐽¯𝑇T\overline{T}/J\overline{T}italic_T over¯ start_ARG italic_T end_ARG / italic_J over¯ start_ARG italic_T end_ARG-deformed CFTs,” JHEP 02, 088 (2020) doi:10.1007/JHEP02(2020)088 [arXiv:1907.12603 [hep-th]].
  14. S. He, J. R. Sun and Y. Sun, “The correlation function of (1,1) and (2,2) supersymmetric theories with T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformation,” JHEP 04, 100 (2020) [arXiv:1912.11461 [hep-th]].
  15. S. He, “Note on higher-point correlation functions of the T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG or J⁢T¯𝐽¯𝑇J\bar{T}italic_J over¯ start_ARG italic_T end_ARG deformed CFTs,” Sci. China Phys. Mech. Astron. 64, no.9, 291011 (2021) doi:10.1007/s11433-021-1741-1 [arXiv:2012.06202 [hep-th]].
  16. S. He and Y. Sun, “Correlation functions of CFTs on a torus with a T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG deformation,” Phys. Rev. D 102, no.2, 026023 (2020) doi:10.1103/PhysRevD.102.026023 [arXiv:2004.07486 [hep-th]].
  17. S. He, Y. Sun and J. Yin, “A systematic approach to correlators in T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformed CFTs,” [arXiv:2310.20516 [hep-th]].
  18. O. Aharony and T. Vaknin, “The TT* deformation at large central charge,” JHEP 05, 166 (2018) doi:10.1007/JHEP05(2018)166 [arXiv:1803.00100 [hep-th]].
  19. S. B. Chakraborty, S. Georgescu and M. Guica, “States, symmetries and correlators of T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG and J⁢T¯𝐽¯𝑇J\bar{T}italic_J over¯ start_ARG italic_T end_ARG symmetric orbifolds,” SciPost Phys. 16, no.1, 011 (2024) doi:10.21468/SciPostPhys.16.1.011 [arXiv:2306.16454 [hep-th]].
  20. W. Cui, H. Shu, W. Song and J. Wang, “Correlation functions in the TsT/T⁢T¯TsT𝑇¯𝑇{\text{TsT}}/T\overline{T}TsT / italic_T over¯ start_ARG italic_T end_ARG correspondence,” JHEP 04, 017 (2024) doi:10.1007/JHEP04(2024)017 [arXiv:2304.04684 [hep-th]].
  21. O. Aharony and N. Barel, “Correlation functions in T⁢T¯T¯T\textrm{T}\overline{\textrm{T}}T over¯ start_ARG T end_ARG-deformed Conformal Field Theories,” JHEP 08, 035 (2023) doi:10.1007/JHEP08(2023)035 [arXiv:2304.14091 [hep-th]].
  22. O. A. Castro-Alvaredo, S. Negro and F. Sailis, “Form factors and correlation functions of T⁢T¯T¯T\textrm{T}\overline{\textrm{T}}T over¯ start_ARG T end_ARG-deformed integrable quantum field theories,” JHEP 09, 048 (2023) doi:10.1007/JHEP09(2023)048 [arXiv:2306.01640 [hep-th]].
  23. Y. Li and Y. Zhou, “Cutoff AdS3 versus T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG CFT2 in the large central charge sector: correlators of energy-momentum tensor,” JHEP 12, 168 (2020) doi:10.1007/JHEP12(2020)168 [arXiv:2005.01693 [hep-th]].
  24. S. Hirano, T. Nakajima and M. Shigemori, “T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG Deformation of stress-tensor correlators from random geometry,” JHEP 04, 270 (2021) doi:10.1007/JHEP04(2021)270 [arXiv:2012.03972 [hep-th]].
  25. S. He and Y. Z. Li, “Genus two correlation functions in CFTs with T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformation,” Sci. China Phys. Mech. Astron. 66, no.5, 251011 (2023) [arXiv:2202.04810 [hep-th]].
  26. S. He, Y. Li, Y. Z. Li and Y. Zhang, “Holographic torus correlators of stress tensor in AdS3/CFT2,” JHEP 06, 116 (2023) doi:10.1007/JHEP06(2023)116 [arXiv:2303.13280 [hep-th]].
  27. S. He, Y. Z. Li and Y. Zhang, “Holographic torus correlators in AdS3subscriptAdS3\text{AdS}_{3}AdS start_POSTSUBSCRIPT 3 end_POSTSUBSCRIPT gravity coupled to scalar field,” [arXiv:2311.09636 [hep-th]].
  28. J. Cardy, “The T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG deformation of quantum field theory as random geometry,” JHEP 10, 186 (2018) doi:10.1007/JHEP10(2018)186 [arXiv:1801.06895 [hep-th]].
  29. S. Datta and Y. Jiang, “T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformed partition functions,” JHEP 08, 106 (2018) doi:10.1007/JHEP08(2018)106 [arXiv:1806.07426 [hep-th]].
  30. O. Aharony, S. Datta, A. Giveon, Y. Jiang and D. Kutasov, “Modular invariance and uniqueness of T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformed CFT,” JHEP 01, 086 (2019) [arXiv:1808.02492 [hep-th]].
  31. S. He, Y. Sun and Y. X. Zhang, “T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG-flow effects on torus partition functions,” JHEP 09, 061 (2021) doi:10.1007/JHEP09(2021)061 [arXiv:2011.02902 [hep-th]].
  32. S. Datta and Y. Jiang, “Characters of irrelevant deformations,” JHEP 07, 162 (2021) doi:10.1007/JHEP07(2021)162 [arXiv:2104.00281 [hep-th]].
  33. J. Cardy, “T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG-deformed modular forms,” Commun. Num. Theor. Phys. 16, no.3, 435-457 (2022) doi:10.4310/CNTP.2022.v16.n3.a1 [arXiv:2201.00478 [math.NT]].
  34. M. He, “One-loop partition functions in T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG-deformed AdS3,” [arXiv:2401.09879 [hep-th]].
  35. W. Donnelly and V. Shyam, “Entanglement entropy and T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG deformation,” Phys. Rev. Lett. 121, no.13, 131602 (2018) [arXiv:1806.07444 [hep-th]].
  36. B. Chen, L. Chen and P. X. Hao, “Entanglement entropy in T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG-deformed CFT,” Phys. Rev. D 98, no.8, 086025 (2018) [arXiv:1807.08293 [hep-th]].
  37. C. Park, “Holographic Entanglement Entropy in Cutoff AdS,” Int. J. Mod. Phys. A 33, no.36, 1850226 (2019) [arXiv:1812.00545 [hep-th]].
  38. A. Banerjee, A. Bhattacharyya and S. Chakraborty, “Entanglement Entropy for T⁢T𝑇𝑇TTitalic_T italic_T deformed CFT in general dimensions,” Nucl. Phys. B 948, 114775 (2019) [arXiv:1904.00716 [hep-th]].
  39. C. Murdia, Y. Nomura, P. Rath and N. Salzetta, “Comments on holographic entanglement entropy in T⁢T𝑇𝑇TTitalic_T italic_T deformed conformal field theories,” Phys. Rev. D 100, no.2, 026011 (2019) [arXiv:1904.04408 [hep-th]].
  40. H. S. Jeong, K. Y. Kim and M. Nishida, “Entanglement and Rényi entropy of multiple intervals in T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG-deformed CFT and holography,” Phys. Rev. D 100, no.10, 106015 (2019) [arXiv:1906.03894 [hep-th]].
  41. S. Grieninger, “Entanglement entropy and T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG deformations beyond antipodal points from holography,” JHEP 11, 171 (2019) [arXiv:1908.10372 [hep-th]].
  42. W. Donnelly, E. LePage, Y. Y. Li, A. Pereira and V. Shyam, “Quantum corrections to finite radius holography and holographic entanglement entropy,” JHEP 05, 006 (2020) [arXiv:1909.11402 [hep-th]].
  43. X. Jiang, P. Wang, H. Wu and H. Yang, “Timelike entanglement entropy and TT¯¯T\overline{\text{T}}over¯ start_ARG T end_ARG deformation,” Phys. Rev. D 108, no.4, 046004 (2023) doi:10.1103/PhysRevD.108.046004 [arXiv:2302.13872 [hep-th]].
  44. X. Jiang, P. Wang, H. Wu and H. Yang, “Timelike entanglement entropy in dS3/CFT2,” JHEP 08, 216 (2023) doi:10.1007/JHEP08(2023)216 [arXiv:2304.10376 [hep-th]].
  45. O. A. Castro-Alvaredo, S. Negro and F. Sailis, “Entanglement entropy from form factors in T⁢T¯T¯T\textrm{T}\overline{\textrm{T}}T over¯ start_ARG T end_ARG-deformed integrable quantum field theories,” JHEP 11, 129 (2023) doi:10.1007/JHEP11(2023)129 [arXiv:2306.11064 [hep-th]].
  46. M. He, J. Hou and Y. Jiang, “T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG-deformed entanglement entropy for IQFT,” JHEP 03, 056 (2024) doi:10.1007/JHEP03(2024)056 [arXiv:2306.07784 [hep-th]].
  47. H. S. Jeong, W. B. Pan, Y. W. Sun and Y. T. Wang, “Holographic study of T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG like deformed HV QFTs: holographic entanglement entropy,” JHEP 02, 018 (2023) [arXiv:2211.00518 [hep-th]].
  48. K. Allameh, A. F. Astaneh and A. Hassanzadeh, “Aspects of holographic entanglement entropy for TT¯¯T\overline{\text{T}}over¯ start_ARG T end_ARG -deformed CFTs,” Phys. Lett. B 826, 136914 (2022) [arXiv:2111.11338 [hep-th]].
  49. A. Faraji Astaneh and K. Allameh, “Energy of decomposition and entanglement thermodynamics for T2-deformation,” Phys. Lett. B 839, 137772 (2023) [arXiv:2212.02816 [hep-th]].
  50. M. He and Y. Sun, “Holographic entanglement entropy in TT¯¯T\overline{\text{T}}over¯ start_ARG T end_ARG -deformed AdS3,” Nucl. Phys. B 990, 116190 (2023) [arXiv:2301.04435 [hep-th]].
  51. H. Ebrahim and M. Ahmadpour, “Holographic entanglement entropy and mutual information in deformed field theories at finite temperature,” Phys. Rev. D 107, no.8, 086010 (2023) [arXiv:2301.07242 [hep-th]].
  52. S. Grieninger, K. Ikeda and D. E. Kharzeev, “Temporal Entanglement Entropy as a probe of Renormalization Group Flow,” [arXiv:2312.08534 [hep-th]].
  53. L. Apolo, P. X. Hao, W. X. Lai and W. Song, “Glue-on AdS holography for T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG-deformed CFTs,” [arXiv:2303.04836 [hep-th]].
  54. J. Tian, “On-shell action of T⁢T¯T¯T\text{T}\bar{\text{T}}T over¯ start_ARG T end_ARG-deformed Holographic CFTs,” [arXiv:2306.01258 [hep-th]].
  55. D. Chen, X. Jiang and H. Yang, “Holographic TT¯¯T\overline{\text{T}}over¯ start_ARG T end_ARG deformed entanglement entropy in dS3/CFT2,” Phys. Rev. D 109, no.2, 026011 (2024) [arXiv:2307.04673 [hep-th]].
  56. S. He, J. Yang, Y. X. Zhang and Z. X. Zhao, “Pseudo entropy of primary operators in T⁢T¯/J⁢T¯𝑇¯𝑇𝐽¯𝑇T\overline{T}/J\overline{T}italic_T over¯ start_ARG italic_T end_ARG / italic_J over¯ start_ARG italic_T end_ARG-deformed CFTs,” JHEP 09, 025 (2023) [arXiv:2305.10984 [hep-th]].
  57. S. Khoeini-Moghaddam, F. Omidi and C. Paul, “Aspects of Hyperscaling Violating Geometries at Finite Cutoff,” JHEP 02, 121 (2021)
  58. M. Asrat and J. Kudler-Flam, “T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG, the entanglement wedge cross section, and the breakdown of the split property,” Phys. Rev. D 102, no.4, 045009 (2020) [arXiv:2005.08972 [hep-th]].
  59. D. Basu, S. Biswas, A. Dey, B. Paul and G. Sengupta, “Odd entanglement entropy in TT¯¯T\overline{\text{T}}over¯ start_ARG T end_ARG deformed CFT2s and holography,” Phys. Rev. D 108, no.12, 126013 (2023) [arXiv:2307.04832 [hep-th]].
  60. A. Akhavan, M. Alishahiha, A. Naseh and H. Zolfi, “Complexity and Behind the Horizon Cut Off,” JHEP 12, 090 (2018) [arXiv:1810.12015 [hep-th]].
  61. S. S. Hashemi, G. Jafari, A. Naseh and H. Zolfi, “More on Complexity in Finite Cut Off Geometry,” Phys. Lett. B 797, 134898 (2019) [arXiv:1902.03554 [hep-th]].
  62. M. Alishahiha and A. Faraji Astaneh, “Complexity of Hyperscaling Violating Theories at Finite Cutoff,” Phys. Rev. D 100, no.8, 086004 (2019) [arXiv:1905.10740 [hep-th]].
  63. D. Das, S. Pal and A. Sarkar, “Wormholes and half wormholes under irrelevant deformation,” Phys. Rev. D 106, no.6, 066014 (2022) doi:10.1103/PhysRevD.106.066014 [arXiv:2203.14988 [hep-th]].
  64. D. J. Gross, J. Kruthoff, A. Rolph and E. Shaghoulian, “T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG in AdS2 and Quantum Mechanics,” Phys. Rev. D 101, no.2, 026011 (2020) [arXiv:1907.04873 [hep-th]].
  65. D. J. Gross, J. Kruthoff, A. Rolph and E. Shaghoulian, “Hamiltonian deformations in quantum mechanics, T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG, and the SYK model,” Phys. Rev. D 102, no.4, 046019 (2020) [arXiv:1912.06132 [hep-th]].
  66. S. He and Z. Y. Xian, “TT¯¯T\overline{\text{T}}over¯ start_ARG T end_ARG deformation on multiquantum mechanics and regenesis,” Phys. Rev. D 106, no.4, 046002 (2022) doi:10.1103/PhysRevD.106.046002 [arXiv:2104.03852 [hep-th]].
  67. M. Taylor, “TT deformations in general dimensions,” [arXiv:1805.10287 [hep-th]].
  68. T. Hartman, J. Kruthoff, E. Shaghoulian and A. Tajdini, “Holography at finite cutoff with a T2superscript𝑇2T^{2}italic_T start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT deformation,” JHEP 03, 004 (2019) [arXiv:1807.11401 [hep-th]].
  69. J. Hou, “T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG flow as characteristic flows,” JHEP 03, 243 (2023) doi:10.1007/JHEP03(2023)243 [arXiv:2208.05391 [hep-th]].
  70. T. Morone, S. Negro and R. Tateo, “Gravity and T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG flows in higher dimensions,” [arXiv:2401.16400 [hep-th]].
  71. J. Cardy,“T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG deformations of non-Lorentz invariant field theories,” [arXiv:1809.07849 [hep-th]].
  72. Y. Jiang, “TT¯¯T\overline{\text{T}}over¯ start_ARG T end_ARG Deformation: A Lattice Approach,” Symmetry 15, no.12, 2212 (2023) doi:10.3390/sym15122212 [arXiv:2312.12078 [hep-th]].
  73. Y. Jiang, “A pedagogical review on solvable irrelevant deformations of 2D quantum field theory,” Commun. Theor. Phys. 73, no.5, 057201 (2021) [arXiv:1904.13376 [hep-th]].
  74. M. Guica,“T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformations and holography”, lecture notes.
  75. C. Ferko, A. Sfondrini, L. Smith and G. Tartaglino-Mazzucchelli, “Root-T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG Deformations in Two-Dimensional Quantum Field Theories,” Phys. Rev. Lett. 129, no.20, 201604 (2022) [arXiv:2206.10515 [hep-th]].
  76. R. Borsato, C. Ferko and A. Sfondrini, “Classical integrability of root-T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG flows,” Phys. Rev. D 107, no.8, 086011 (2023)
  77. S. Ebert, C. Ferko, C. L. Martin and G. Tartaglino-Mazzucchelli, “Flows in the Space of Interacting Chiral Boson Theories,” [arXiv:2403.18242 [hep-th]].
  78. S. Ebert, C. Ferko and Z. Sun, “Root-TT deformed boundary conditions in holography,” Phys. Rev. D 107, no.12, 12 (2023) [arXiv:2304.08723 [hep-th]].
  79. J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38, 1113-1133 (1999) [arXiv:hep-th/9711200 [hep-th]].
  80. L. McGough, M. Mezei and H. Verlinde, “Moving the CFT into the bulk with T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG,” JHEP 04, 010 (2018) doi:10.1007/JHEP04(2018)010 [arXiv:1611.03470 [hep-th]].
  81. L. Apolo, P. X. Hao, W. X. Lai and W. Song, “Extremal surfaces in glue-on AdS/T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG holography,” JHEP 01, 054 (2024) doi:10.1007/JHEP01(2024)054 [arXiv:2311.04883 [hep-th]].
  82. M. Guica and R. Monten, “T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG and the mirage of a bulk cutoff,” SciPost Phys. 10, no.2, 024 (2021) doi:10.21468/SciPostPhys.10.2.024 [arXiv:1906.11251 [hep-th]].
  83. I. R. Klebanov and E. Witten, “AdS / CFT correspondence and symmetry breaking,” Nucl. Phys. B 556, 89-114 (1999) doi:10.1016/S0550-3213(99)00387-9 [arXiv:hep-th/9905104 [hep-th]].
  84. E. Witten, “Multitrace operators, boundary conditions, and AdS / CFT correspondence,” [arXiv:hep-th/0112258 [hep-th]].
  85. J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys. B 270, 186-204 (1986) doi:10.1016/0550-3213(86)90552-3
  86. L. Alvarez-Gaume and E. Witten, “Gravitational Anomalies,” Nucl. Phys. B 234, 269 (1984) doi:10.1016/0550-3213(84)90066-X
  87. P. Kraus and F. Larsen, “Holographic gravitational anomalies,” JHEP 01, 022 (2006) doi:10.1088/1126-6708/2006/01/022 [arXiv:hep-th/0508218 [hep-th]].
  88. S. Deser, R. Jackiw and S. Templeton, “Three-Dimensional Massive Gauge Theories,” Phys. Rev. Lett. 48, 975-978 (1982) doi:10.1103/PhysRevLett.48.975
  89. S. Deser, R. Jackiw and S. Templeton, “Topologically Massive Gauge Theories,” Annals Phys. 140, 372-411 (1982) [erratum: Annals Phys. 185, 406 (1988)] doi:10.1016/0003-4916(82)90164-6
  90. R. Conti, S. Negro and R. Tateo, “The T⁢T¯T¯T\mathrm{T}\overline{\mathrm{T}}roman_T over¯ start_ARG roman_T end_ARG perturbation and its geometric interpretation,” JHEP 02, 085 (2019) doi:10.1007/JHEP02(2019)085 [arXiv:1809.09593 [hep-th]].
  91. P. Caputa, P. Caputa, S. Datta, S. Datta, Y. Jiang, Y. Jiang, P. Kraus and P. Kraus, “Geometrizing T⁢T¯𝑇¯𝑇T\overline{T}italic_T over¯ start_ARG italic_T end_ARG,” JHEP 03, 140 (2021) [erratum: JHEP 09, 110 (2022)] doi:10.1007/JHEP03(2021)140 [arXiv:2011.04664 [hep-th]].
  92. K. Skenderis and S. N. Solodukhin, “Quantum effective action from the AdS / CFT correspondence,” Phys. Lett. B 472, 316-322 (2000) doi:10.1016/S0370-2693(99)01467-7 [arXiv:hep-th/9910023 [hep-th]].
  93. 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, 207-226 (1986)
  94. R. Dijkgraaf, J. M. Maldacena, G. W. Moore and E. P. Verlinde, “A Black hole Farey tail,” [arXiv:hep-th/0005003 [hep-th]].
  95. S. N. Solodukhin, “Holography with gravitational Chern-Simons,” Phys. Rev. D 74, 024015 (2006) doi:10.1103/PhysRevD.74.024015 [arXiv:hep-th/0509148 [hep-th]].
  96. X. Yin, “Partition Functions of Three-Dimensional Pure Gravity,” Commun. Num. Theor. Phys. 2, 285-324 (2008) doi:10.4310/CNTP.2008.v2.n2.a1 [arXiv:0710.2129 [hep-th]].
  97. E. Witten, “Three-Dimensional Gravity Revisited,” [arXiv:0706.3359 [hep-th]].
  98. J. Manschot, “AdS(3) Partition Functions Reconstructed,” JHEP 10, 103 (2007) doi:10.1088/1126-6708/2007/10/103 [arXiv:0707.1159 [hep-th]].
  99. K. Skenderis, M. Taylor and B. C. van Rees, “Topologically Massive Gravity and the AdS/CFT Correspondence,” JHEP 09, 045 (2009) doi:10.1088/1126-6708/2009/09/045 [arXiv:0906.4926 [hep-th]].
  100. O. Aharony, S. Datta, A. Giveon, Y. Jiang and D. Kutasov, “Modular covariance and uniqueness of J⁢T¯𝐽¯𝑇J\bar{T}italic_J over¯ start_ARG italic_T end_ARG deformed CFTs,” JHEP 01, 085 (2019) [arXiv:1808.08978 [hep-th]].
  101. P. Kraus and F. Larsen, “Partition functions and elliptic genera from supergravity,” JHEP 01, 002 (2007) doi:10.1088/1126-6708/2007/01/002 [arXiv:hep-th/0607138 [hep-th]].
  102. A. Bzowski and M. Guica, “The holographic interpretation of J⁢T¯𝐽¯𝑇J\bar{T}italic_J over¯ start_ARG italic_T end_ARG-deformed CFTs,” JHEP 01, 198 (2019) doi:10.1007/JHEP01(2019)198 [arXiv:1803.09753 [hep-th]].
  103. O. Aharony, S. Datta, A. Giveon, Y. Jiang and D. Kutasov, “Modular covariance and uniqueness of J⁢T¯𝐽¯𝑇J\bar{T}italic_J over¯ start_ARG italic_T end_ARG deformed CFTs,” JHEP 01, 085 (2019) doi:10.1007/JHEP01(2019)085 [arXiv:1808.08978 [hep-th]].
  104. J. Tian, T. Lai and F. Omidi,“TT¯¯T\overline{\text{T}}over¯ start_ARG T end_ARG deformation of banana geometry”, to appear.
  105. J. Abajian, F. Aprile, R. C. Myers and P. Vieira, “Holography and correlation functions of huge operators: spacetime bananas,” JHEP 12, 058 (2023) doi:10.1007/JHEP12(2023)058 [arXiv:2306.15105 [hep-th]].

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Authors (3)

  1. Jia Tian 
  2. Tengzhou Lai 
  3. Farzad Omidi 

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