Abstract
It was recently shown that the theory obtained by deforming a general two dimensional conformal theory by the irrelevant operator \( T\overline{T} \) is solvable. In the context of holography, a large class of such theories can be obtained by studying string theory on AdS 3. We show that a certain single trace \( T\overline{T} \) deformation of the boundary CFT 2 gives rise in the bulk to string theory in a background that interpolates between AdS 3 in the IR and a linear dilaton spacetime in the UV, i.e. to a two dimensional vacuum of Little String Theory. This construction provides holographic duals for a large class of vacua of string theory in asymptotically linear dilaton spacetimes, and sheds light on the UV behavior of \( T\overline{T} \) deformed CFT 2. It may provide a step towards holography in flat spacetime.
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References
C.G. Callan Jr., J.A. Harvey and A. Strominger, Supersymmetric string solitons, in proceedings of the String Theory and Quantum Gravity ’91, ICTP, Trieste, Italy, 15-26 April 1991 [hep-th/9112030] [INSPIRE].
A. Giveon, D. Kutasov and O. Pelc, Holography for noncritical superstrings, JHEP 10 (1999) 035 [hep-th/9907178] [INSPIRE].
O. Aharony, M. Berkooz, D. Kutasov and N. Seiberg, Linear dilatons, NS5-branes and holography, JHEP 10 (1998) 004 [hep-th/9808149] [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].
S. Dubovsky, R. Flauger and V. Gorbenko, Solving the Simplest Theory of Quantum Gravity, JHEP 09 (2012) 133 [arXiv:1205.6805] [INSPIRE].
M. Caselle, D. Fioravanti, F. Gliozzi and R. Tateo, Quantisation of the effective string with TBA, JHEP 07 (2013) 071 [arXiv:1305.1278] [INSPIRE].
A.B. Zamolodchikov, Expectation value of composite field TT in two-dimensional quantum field theory, hep-th/0401146 [INSPIRE].
J.J. Atick and E. Witten, The Hagedorn Transition and the Number of Degrees of Freedom of String Theory, Nucl. Phys. B 310 (1988) 291 [INSPIRE].
D.A. Kastor, E.J. Martinec and S.H. Shenker, RG Flow in N = 1 Discrete Series, Nucl. Phys. B 316 (1989) 590 [INSPIRE].
A.B. Zamolodchikov, From tricritical Ising to critical Ising by thermodynamic Bethe ansatz, Nucl. Phys. B 358 (1991) 524 [INSPIRE].
A. Giveon, D. Kutasov and N. Seiberg, Comments on string theory on AdS 3, Adv. Theor. Math. Phys. 2 (1998) 733 [hep-th/9806194] [INSPIRE].
D. Kutasov and N. Seiberg, More comments on string theory on AdS 3, JHEP 04 (1999) 008 [hep-th/9903219] [INSPIRE].
E. Witten, On string theory and black holes, Phys. Rev. D 44 (1991) 314.
D. Kutasov and D.A. Sahakyan, Comments on the thermodynamics of little string theory, JHEP 02 (2001) 021 [hep-th/0012258] [INSPIRE].
A. Giveon, D. Kutasov, E. Rabinovici and A. Sever, Phases of quantum gravity in AdS 3 and linear dilaton backgrounds, Nucl. Phys. B 719 (2005) 3 [hep-th/0503121] [INSPIRE].
D. Israel, C. Kounnas and M.P. Petropoulos, Superstrings on NS5 backgrounds, deformed AdS 3 and holography, JHEP 10 (2003) 028 [hep-th/0306053] [INSPIRE].
R. Argurio, A. Giveon and A. Shomer, Superstrings on AdS 3 and symmetric products, JHEP 12 (2000) 003 [hep-th/0009242] [INSPIRE].
A. Giveon and D. Kutasov, Supersymmetric Renyi entropy in CFT 2 and AdS 3, JHEP 01 (2016) 042 [arXiv:1510.08872] [INSPIRE].
M. Wakimoto, Fock representations of the affine Lie algebra A (1)1 , Commun. Math. Phys. 104 (1986) 605 [INSPIRE].
D. Bernard and G. Felder, Fock Representations and BRST Cohomology in SL(2) Current Algebra, Commun. Math. Phys. 127 (1990) 145 [INSPIRE].
M. Bershadsky and D. Kutasov, Comment on gauged WZW theory, Phys. Lett. B 266 (1991) 345 [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].
T. Hertog and G.T. Horowitz, Towards a big crunch dual, JHEP 07 (2004) 073 [hep-th/0406134] [INSPIRE].
T. Hertog and G.T. Horowitz, Holographic description of AdS cosmologies, JHEP 04 (2005) 005 [hep-th/0503071] [INSPIRE].
S. Elitzur, A. Giveon, M. Porrati and E. Rabinovici, Multitrace deformations of vector and adjoint theories and their holographic duals, JHEP 02 (2006) 006 [hep-th/0511061] [INSPIRE].
B. Craps, T. Hertog and N. Turok, On the Quantum Resolution of Cosmological Singularities using AdS/CFT, Phys. Rev. D 86 (2012) 043513 [arXiv:0712.4180] [INSPIRE].
L. McGough, M. Mezei and H. Verlinde, Moving the CFT into the bulk with \( T\overline{T} \), arXiv:1611.03470 [INSPIRE].
E. Witten, Multitrace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258 [INSPIRE].
M. Berkooz, A. Sever and A. Shomer, ‘Double trace’ deformations, boundary conditions and space-time singularities, JHEP 05 (2002) 034 [hep-th/0112264] [INSPIRE].
G.T. Horowitz and A.A. Tseytlin, On exact solutions and singularities in string theory, Phys. Rev. D 50 (1994) 5204 [hep-th/9406067] [INSPIRE].
S. Hyun, U duality between three-dimensional and higher dimensional black holes, J. Korean Phys. Soc. 33 (1998) S532 [hep-th/9704005] [INSPIRE].
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].
O. Aharony, A. Giveon and D. Kutasov, LSZ in LST, Nucl. Phys. B 691 (2004) 3 [hep-th/0404016] [INSPIRE].
N. Seiberg and E. Witten, The D1/D5 system and singular CFT, JHEP 04 (1999) 017 [hep-th/9903224] [INSPIRE].
S.S. Gubser, A. Hashimoto, I.R. Klebanov and M. Krasnitz, Scalar absorption and the breaking of the world volume conformal invariance, Nucl. Phys. B 526 (1998) 393 [hep-th/9803023] [INSPIRE].
K.A. Intriligator, Maximally supersymmetric RG flows and AdS duality, Nucl. Phys. B 580 (2000) 99 [hep-th/9909082] [INSPIRE].
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ArXiv ePrint: 1701.05576
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Giveon, A., Itzhaki, N. & Kutasov, D. \( \mathrm{T}\overline{\mathrm{T}} \) and LST. J. High Energ. Phys. 2017, 122 (2017). https://doi.org/10.1007/JHEP07(2017)122
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DOI: https://doi.org/10.1007/JHEP07(2017)122