Abstract
Aspects of superstring theory on deformed BTZ black holes, formed near k NS5 branes by p fundamental strings, and single-trace \( T\overline{T} \) holography, are presented. The excitation energy of a singly wound long string plus its contribution to the energy of the black hole, 1/p fraction of the black-hole energy, is the same as that in \( T\overline{T} \) deformed CFT2 with c = 6k. This supports the claim that the black hole can be thought of as a state in a symmetric product of p CFT2’s of central charge 6k, where the black-hole energy is split equally among all p factors. A comment on superstring theory on deformed global AdS3 is also presented.
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References
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity, Phys. Rep. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
A. Giveon and M. Rocek, Supersymmetric string vacua on AdS3 × \( \mathcal{N} \), JHEP 04 (1999) 019 [hep-th/9904024] [INSPIRE].
R. Argurio, A. Giveon and A. Shomer, Superstrings on AdS3 and symmetric products, JHEP 12 (2000) 003 [hep-th/0009242] [INSPIRE].
A. Giveon, D. Kutasov, E. Rabinovici and A. Sever, Phases of quantum gravity in AdS3 and linear dilaton backgrounds, Nucl. Phys. B 719 (2005) 3 [hep-th/0503121] [INSPIRE].
S. Chakraborty, A. Giveon and D. Kutasov, Comments on single-trace \( T\overline{T} \) holography, JHEP 06 (2023) 018 [arXiv:2303.12422] [INSPIRE].
A. Giveon, N. Itzhaki and D. Kutasov, \( T\overline{T} \) and LST, JHEP 07 (2017) 122 [arXiv:1701.05576] [INSPIRE].
A. Giveon, N. Itzhaki and D. Kutasov, A solvable irrelevant deformation of AdS3/CFT2, JHEP 12 (2017) 155 [arXiv:1707.05800] [INSPIRE].
O. Aharony, M. Berkooz, D. Kutasov and N. Seiberg, Linear dilatons, NS five-branes and holography, JHEP 10 (1998) 004 [hep-th/9808149] [INSPIRE].
A. Hashimoto and D. Kutasov, \( T\overline{T},J\overline{T},T\overline{J} \) partition sums from string theory, JHEP 02 (2020) 080 [arXiv:1907.07221] [INSPIRE].
S. Chakraborty, A. Giveon and D. Kutasov, Momentum in Single-trace \( T\overline{T} \) Holography, Nucl. Phys. B 998 (2024) 116405 [arXiv:2304.09212] [INSPIRE].
F.A. Smirnov and A.B. Zamolodchikov, On space of integrable quantum field theories, Nucl. Phys. B 915 (2017) 363 [arXiv:1608.05499] [INSPIRE].
A. Cavaglià, S. Negro, I.M. Szécsényi and R. Tateo, \( T\overline{T} \)-deformed 2D Quantum Field Theories, JHEP 10 (2016) 112 [arXiv:1608.05534] [INSPIRE].
E.J. Martinec, The holar wind, JHEP 07 (2023) 113 [arXiv:2303.00234] [INSPIRE].
S.K. Ashok and J. Troost, Twisted strings in three-dimensional black holes, Eur. Phys. J. C 82 (2022) 913 [arXiv:2112.08784] [INSPIRE].
S. Chakraborty, A. Giveon and D. Kutasov, \( T\overline{T} \), black holes and negative strings, JHEP 09 (2020) 057 [arXiv:2006.13249] [INSPIRE].
A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rep. 244 (1994) 77 [hep-th/9401139] [INSPIRE].
L. Apolo, S. Detournay and W. Song, TsT, \( T\overline{T} \) and black strings, JHEP 06 (2020) 109 [arXiv:1911.12359] [INSPIRE].
S. Chakraborty, \( \frac{\textrm{SL}\left(2\mathbb{R}\right)\times \textrm{U}(1)}{\textrm{U}(1)} \) CFT, NS5 + F1 system and single trace \( T\overline{T} \), JHEP 03 (2021) 113 [arXiv:2012.03995] [INSPIRE].
S. Chakraborty and M. Goykhman, Solvable time-like cosets and holography beyond AdS, JHEP 08 (2022) 244 [arXiv:2204.03024] [INSPIRE].
A. Giveon, Comments on \( T\overline{T},J\overline{T} \) and String Theory, arXiv:1903.06883 [INSPIRE].
S. Chakraborty, A. Giveon and D. Kutasov, \( T\overline{T},J\overline{T},T\overline{J} \) and String Theory, J. Phys. A 52 (2019) 384003 [arXiv:1905.00051] [INSPIRE].
N. Seiberg and E. Witten, The D1/D5 system and singular CFT, JHEP 04 (1999) 017 [hep-th/9903224] [INSPIRE].
S. Chakraborty, A. Giveon and A. Hashimoto, Thermal partition function of \( {J}_3{\overline{J}}_3 \) deformed AdS3, arXiv:2403.03979 [INSPIRE].
Acknowledgments
We thank David Kutasov for collaboration on many aspects of this paper. The work of SC received funding under the Framework Program for Research and “Horizon 2020” innovation under the Marie Skłodowska-Curie grant agreement no 945298. This work was supported in part by the FACCTS Program at the University of Chicago. The work of AG was supported in part by the ISF (grant number 256/22) and the BSF (grant number 2018068). The work of AH was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0017647.
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Chakraborty, S., Giveon, A. & Hashimoto, A. On string theory on deformed BTZ and \( \textrm{T}\overline{\textrm{T}} \). J. High Energ. Phys. 2024, 134 (2024). https://doi.org/10.1007/JHEP04(2024)134
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DOI: https://doi.org/10.1007/JHEP04(2024)134