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Holographic integration of $T \bar{T}$ and $J \bar{T}$ via $O(d,d)$ · Around

2018

Holographic integration of $T \bar{T}$ and $J \bar{T}$ via $O(d,d)$

Araujo, Thiago, Colgáin, Eoin Ó, Sakatani, Yuho et al.

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Prompted by the recent developments in integrable single trace $T \bar{T}$ and $J \bar{T}$ deformations of 2d CFTs, we analyse such deformations in the context of $AdS_3/CFT_2$ from the dual string worldsheet CFT viewpoint.

We observe that the finite form of these deformations can be recast as $O(d,d)$ transformations, which are an integrated form of the corresponding Exactly Marginal Deformations (EMD) in the worldsheet Wess-Zumino-Witten (WZW) model, thereby generalising the Yang-Baxter class that includes TsT.
Furthermore, the equivalence between $O(d,d)$ transformations and marginal deformations of WZW models, proposed by Hassan and Sen for Abelian chiral currents, can be extended to non-Abelian chiral currents to recover a well-known constraint on EMD in the worldsheet CFT.
We also argue that such EMD are also solvable from the worldsheet theory viewpoint.

Built on

M. Wakimoto, “Fock representations of the affine lie algebra A1(1),” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
T. H. Buscher, “A Symmetry of the String Background Field Equations,” Phys. Lett. B 194
1987
Earlier work this paper cites.
T. H. Buscher, “Path Integral Derivation of Quantum Duality in Nonlinear Sigma Models,” Phys. Lett. B 201
1988
Earlier work this paper cites.
S. Chaudhuri and J. A. Schwartz, “A Criterion for Integrably Marginal Operators,” Phys. Lett. B 219
1989
Earlier work this paper cites.
T. Courant, “Dirac manifolds”, Trans. Amer. Math. Soc. 319
1990
Earlier work this paper cites.
M. Rocek and E. P. Verlinde, “Duality, quotients, and currents,” Nucl. Phys. B 373
1992
Earlier work this paper cites.
S. F. Hassan and A. Sen, “Marginal deformations of WZNW and coset models from O(d,d) transformation,” Nucl. Phys. B 405
1993
Earlier work this paper cites.
E. Kiritsis, “Exact duality symmetries in CFT and string theory,” Nucl. Phys. B 405
1993
Earlier work this paper cites.
M. Henningson and C. R. Nappi, “Duality, marginal perturbations and gauging,” Phys. Rev. D 48
1993
Earlier work this paper cites.
S. Forste, “A Truly marginal deformation of SL(2, R) in a null direction,” Phys. Lett. B 338
1994
Earlier work this paper cites.
A. Giveon, D. Kutasov and N. Seiberg, “Comments on string theory on AdS(3),” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP 9909
1999
Earlier work this paper cites.
C. Klimcik, “Yang-Baxter sigma models and dS/AdS T duality,” JHEP 0212
2002
Earlier work this paper cites.
D. Israel, C. Kounnas, D. Orlando and P. M. Petropoulos, “Electric/magnetic deformations of S**3 and AdS(3), and geometric cosets,” Fortsch. Phys. 53
2005
Earlier work this paper cites.
S. Detournay, D. Orlando, P. M. Petropoulos and P. Spindel, “Three-dimensional black holes from deformed anti-de Sitter,” JHEP 0507
2005
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
C. Klimcik, “On integrability of the Yang-Baxter sigma-model,” J. Math. Phys. 50
Original
2009
Earlier work this paper cites.
T. Azeyanagi, D. M. Hofman, W. Song and A. Strominger, “The Spectrum of Strings on Warped A d S 3 x S 3 AdS_{3}xS^{3} ,” JHEP 1304
Original
2013
Earlier work this paper cites.
F. Delduc, M. Magro and B. Vicedo, “An integrable deformation of the A d S 5 × S 5 AdS_{5}\times S^{5} superstring action,” Phys. Rev. Lett. 112
Original
2014
Earlier work this paper cites.
I. Kawaguchi, T. Matsumoto and K. Yoshida, “Jordanian deformations of the A d S 5 x S 5 AdS_{5}xS^{5} superstring,” JHEP 1404
Original
2014
Earlier work this paper cites.

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