Abstract
We generalize our recent analysis [1] of probe string dynamics to the case of general single-trace \( T\overline{T},J\overline{T} \) and \( T\overline{J} \) deformations. We show that in regions in coupling space where the bulk geometry is smooth, the classical trajectories of such strings are smooth and approach the linear dilaton boundary at either the far past or the far future. These trajectories give rise to quantum scattering states with arbitrarily high energies. When the bulk geometry has closed timelike curves (CTC’s), the trajectories are singular for energies above a critical value Ec. This singularity occurs in the region with CTC’s, and the value of Ec agrees with that read off from the dual boundary theory for all values of the couplings and charges.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. Chakraborty, A. Giveon and D. Kutasov, \( T\overline{T} \), Black Holes and Negative Strings, arXiv:2006.13249 [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].
M. Asrat, A. Giveon, N. Itzhaki and D. Kutasov, Holography Beyond AdS, Nucl. Phys. B 932 (2018) 241 [arXiv:1711.02690] [INSPIRE].
G. Giribet, \( T\overline{T} \)-deformations, AdS/CFT and correlation functions, JHEP 02 (2018) 114 [arXiv:1711.02716] [INSPIRE].
S. Chakraborty, A. Giveon, N. Itzhaki and D. Kutasov, Entanglement beyond AdS, Nucl. Phys. B 935 (2018) 290 [arXiv:1805.06286] [INSPIRE].
S. Chakraborty, A. Giveon and D. Kutasov, \( J\overline{T} \) deformed CFT2 and string theory, JHEP 10 (2018) 057 [arXiv:1806.09667] [INSPIRE].
L. Apolo and W. Song, Strings on warped AdS3 via \( T\overline{J} \) deformations, JHEP 10 (2018) 165 [arXiv:1806.10127] [INSPIRE].
S. Chakraborty, Wilson loop in a \( T\overline{T} \) like deformed CFT2, Nucl. Phys. B 938 (2019) 605 [arXiv:1809.01915] [INSPIRE].
T. Araujo, E. Colgáin, Y. Sakatani, M.M. Sheikh-Jabbari and H. Yavartanoo, Holographic integration of \( T\overline{T} \) & \( J\overline{T} \) via O(d, d), JHEP 03 (2019) 168 [arXiv:1811.03050] [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].
L. Apolo and W. Song, Heating up holography for single-trace \( J\overline{T} \) deformations, JHEP 01 (2020) 141 [arXiv:1907.03745] [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].
A. Hashimoto and D. Kutasov, Strings, symmetric products, \( T\overline{T} \) deformations and Hecke operators, Phys. Lett. B 806 (2020) 135479 [arXiv:1909.11118] [INSPIRE].
L. Apolo, S. Detournay and W. Song, TsT, \( T\overline{T} \) and black strings, JHEP 06 (2020) 109 [arXiv:1911.12359] [INSPIRE].
M. Asrat and J. Kudler-Flam, \( T\overline{T} \), the entanglement wedge cross section, and the breakdown of the split property, Phys. Rev. D 102 (2020) 045009 [arXiv:2005.08972] [INSPIRE].
S. Chakraborty and A. Hashimoto, Thermodynamics of \( T\overline{T} \), \( J\overline{T} \), \( T\overline{J} \) deformed conformal field theories, JHEP 07 (2020) 188 [arXiv:2006.10271] [INSPIRE].
S. Förste, A Truly marginal deformation of SL(2, R) in a null direction, Phys. Lett. B 338 (1994) 36 [hep-th/9407198] [INSPIRE].
A. Giveon, D. Kutasov and O. Pelc, Holography for noncritical superstrings, JHEP 10 (1999) 035 [hep-th/9907178] [INSPIRE].
D. Israel, C. Kounnas, D. Orlando and P. Petropoulos, Electric/magnetic deformations of S3 and AdS3, and geometric cosets, Fortsch. Phys. 53 (2005) 73 [hep-th/0405213] [INSPIRE].
S. Detournay, D. Israel, J.M. Lapan and M. Romo, String Theory on Warped AdS3 and Virasoro Resonances, JHEP 01 (2011) 030 [arXiv:1007.2781] [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].
O. Aharony, A Brief review of ‘little string theories’, Class. Quant. Grav. 17 (2000) 929 [hep-th/9911147] [INSPIRE].
D. Kutasov, Introduction to little string theory, ICTP Lect. Notes Ser. 7 (2002) 165 [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].
N. Seiberg and E. Witten, The D1/D5 system and singular CFT, JHEP 04 (1999) 017 [hep-th/9903224] [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].
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].
D. Kutasov and N. Seiberg, More comments on string theory on AdS3, JHEP 04 (1999) 008 [hep-th/9903219] [INSPIRE].
M. Guica, An integrable Lorentz-breaking deformation of two-dimensional CFTs, SciPost Phys. 5 (2018) 048 [arXiv:1710.08415] [INSPIRE].
B. Le Floch and M. Mezei, Solving a family of \( T\overline{T} \)-like theories, arXiv:1903.07606 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2009.03929
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Chakraborty, S., Giveon, A. & Kutasov, D. Strings in irrelevant deformations of AdS3/CFT2. J. High Energ. Phys. 2020, 57 (2020). https://doi.org/10.1007/JHEP11(2020)057
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2020)057