Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence
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...
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2025-02-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.18.2.049 |
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| author | Zhengyuan Du, Wen-Xin Lai, Kangning Liu, Wei Song |
| author_facet | Zhengyuan Du, Wen-Xin Lai, Kangning Liu, Wei Song |
| author_sort | Zhengyuan Du, Wen-Xin Lai, Kangning Liu, Wei Song |
| collection | DOAJ |
| description | 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$_2$. |
| format | Article |
| id | doaj-art-db52b7b6f20b4608b2e2b3d7546b4229 |
| institution | Kabale University |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SciPost |
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| series | SciPost Physics |
| spelling | doaj-art-db52b7b6f20b4608b2e2b3d7546b42292025-02-11T10:58:19ZengSciPostSciPost Physics2542-46532025-02-0118204910.21468/SciPostPhys.18.2.049Asymptotic symmetries in the $TsT/T\bar{T}$ correspondenceZhengyuan Du, Wen-Xin Lai, Kangning Liu, Wei SongStarting 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$_2$.https://scipost.org/SciPostPhys.18.2.049 |
| spellingShingle | Zhengyuan Du, Wen-Xin Lai, Kangning Liu, Wei Song Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence SciPost Physics |
| title | Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence |
| title_full | Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence |
| title_fullStr | Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence |
| title_full_unstemmed | Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence |
| title_short | Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence |
| title_sort | asymptotic symmetries in the tst t bar t correspondence |
| url | https://scipost.org/SciPostPhys.18.2.049 |
| work_keys_str_mv | AT zhengyuanduwenxinlaikangningliuweisong asymptoticsymmetriesinthetsttbartcorrespondence |