Correlators in $T\bar{T}$ and Root-$T\bar{T}$ Deformed CFTs
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866915940486086656 |
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| author | Li, Bo-Rui He, Song Liu, Yu-Xiao |
| author_facet | Li, Bo-Rui He, Song Liu, Yu-Xiao |
| contents | Quasi-primary correlators in two-dimensional conformal field theories deformed simultaneously by $T\bar T$ and root-$T\bar T$ are studied. A path-integral formulation motivated by the geometric realization of the combined deformation is used to develop a geometric framework for evaluating the deformed correlators. Within this framework, the two-point function is obtained to all orders in the $T\bar T$ coupling and to leading order in the root-$T\bar T$ coupling, while the leading correction to the three-point function is computed. It is further shown that the deformed two-point correlator admits a kernel representation as a weighted average of undeformed CFT correlators over conformal dimensions. This representation is derived explicitly for both the pure $T\bar T$ deformation and the combined flow. In this way, the mixed $T\bar T$/root-$T\bar T$ deformation is incorporated into the geometric description of irrelevant deformations, and the structure of local correlators beyond the pure $T\bar T$ case is characterized more explicitly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14939 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Correlators in $T\bar{T}$ and Root-$T\bar{T}$ Deformed CFTs Li, Bo-Rui He, Song Liu, Yu-Xiao High Energy Physics - Theory Mathematical Physics Quasi-primary correlators in two-dimensional conformal field theories deformed simultaneously by $T\bar T$ and root-$T\bar T$ are studied. A path-integral formulation motivated by the geometric realization of the combined deformation is used to develop a geometric framework for evaluating the deformed correlators. Within this framework, the two-point function is obtained to all orders in the $T\bar T$ coupling and to leading order in the root-$T\bar T$ coupling, while the leading correction to the three-point function is computed. It is further shown that the deformed two-point correlator admits a kernel representation as a weighted average of undeformed CFT correlators over conformal dimensions. This representation is derived explicitly for both the pure $T\bar T$ deformation and the combined flow. In this way, the mixed $T\bar T$/root-$T\bar T$ deformation is incorporated into the geometric description of irrelevant deformations, and the structure of local correlators beyond the pure $T\bar T$ case is characterized more explicitly. |
| title | Correlators in $T\bar{T}$ and Root-$T\bar{T}$ Deformed CFTs |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2604.14939 |