$T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866911777083621376 |
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| author | Hirano, Shinji Nakajima, Tatsuki Shigemori, Masaki |
| author_facet | Hirano, Shinji Nakajima, Tatsuki Shigemori, Masaki |
| contents | We study stress-tensor correlators in the $T\bar{T}$-deformed conformal field theories in two dimensions. Using the random geometry approach to the $T\bar{T}$ deformation, we develop a geometrical method to compute stress-tensor correlators. More specifically, we derive the $T\bar{T}$ deformation to the Polyakov-Liouville conformal anomaly action and calculate three and four-point correlators to the first-order in the $T\bar{T}$ deformation from the deformed Polyakov-Liouville action. The results are checked against the standard conformal perturbation theory computation and we further check consistency with the $T\bar{T}$-deformed operator product expansions of the stress tensor. A salient feature of the $T\bar{T}$-deformed stress-tensor correlators is a logarithmic correction that is absent in two and three-point functions but starts appearing in a four-point function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_03972 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | $T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry Hirano, Shinji Nakajima, Tatsuki Shigemori, Masaki High Energy Physics - Theory We study stress-tensor correlators in the $T\bar{T}$-deformed conformal field theories in two dimensions. Using the random geometry approach to the $T\bar{T}$ deformation, we develop a geometrical method to compute stress-tensor correlators. More specifically, we derive the $T\bar{T}$ deformation to the Polyakov-Liouville conformal anomaly action and calculate three and four-point correlators to the first-order in the $T\bar{T}$ deformation from the deformed Polyakov-Liouville action. The results are checked against the standard conformal perturbation theory computation and we further check consistency with the $T\bar{T}$-deformed operator product expansions of the stress tensor. A salient feature of the $T\bar{T}$-deformed stress-tensor correlators is a logarithmic correction that is absent in two and three-point functions but starts appearing in a four-point function. |
| title | $T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2012.03972 |