TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.2.049
TI  - Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence
PY  - 2025/02/11
UR  - https://www.scipost.org/SciPostPhys.18.2.049
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 2
SP  - 049
A1  - Du, Zhengyuan
AU  - Lai, Wen-Xin
AU  - Liu, Kangning
AU  - Song, Wei
AB  - Starting from holography for IIB string theory on AdS$_3× \mathcal N$ with NS-NS flux, the TsT/$T\bar T$ correspondence is a conjecture that a TsT transformation on the string theory side is holographically dual to the single-trace version of the $T\bar T$ deformation on the field theory side. More precisely, the long string sector of string theory on the TsT-transformed background corresponds to the symmetric product theory whose seed theory is the $T\bar T$-deformed CFT$_2$. In this paper, we study the asymptotic symmetry of the string theory in the bulk. We find a state-dependent, non-local field redefinition under which the worldsheet equations of motion, stress tensor, as well as the symplectic form of string theory after the TsT transformation are mapped to those before the TsT transformation. The asymptotic symmetry in the auxiliary AdS basis is generated by two commuting Virasoro generators, while in the TsT transformed basis is non-linear and non-local. Our result from string theory analysis is compatible with that of the $T\bar T$ deformed CFT$_2$.
ER  -

@Article{10.21468/SciPostPhys.18.2.049,
	title={{Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence}},
	author={Zhengyuan Du and Wen-Xin Lai and Kangning Liu and Wei Song},
	journal={SciPost Phys.},
	volume={18},
	pages={049},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.2.049},
	url={https://scipost.org/10.21468/SciPostPhys.18.2.049},
}