Systematic approach to correlators in $T\bar{T}$ deformed CFTs
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916869597822976 |
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| author | He, Song Sun, Yuan Yin, Jiashi |
| author_facet | He, Song Sun, Yuan Yin, Jiashi |
| contents | We investigate higher-order corrections to correlators in a general CFT (conformal field theory) with the double-trace $T\bar{T}$ deformation. Standard perturbation theory proves inadequate for this problem due to the intricate stress-tensor flow induced by the deformation. To tackle this challenge, we introduce a novel technique termed the conservation equation method. This method leverages the stress tensor's trace relation and conservation property to establish relationships between higher and lower-order corrections, and subsequently determine the correlators by enforcing symmetry properties. As an illustration, we compute first- and higher-order corrections to various types of correlators. Our results align with existing calculations in the literature and demonstrate the viability of our method for general CFTs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_20516 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Systematic approach to correlators in $T\bar{T}$ deformed CFTs He, Song Sun, Yuan Yin, Jiashi High Energy Physics - Theory We investigate higher-order corrections to correlators in a general CFT (conformal field theory) with the double-trace $T\bar{T}$ deformation. Standard perturbation theory proves inadequate for this problem due to the intricate stress-tensor flow induced by the deformation. To tackle this challenge, we introduce a novel technique termed the conservation equation method. This method leverages the stress tensor's trace relation and conservation property to establish relationships between higher and lower-order corrections, and subsequently determine the correlators by enforcing symmetry properties. As an illustration, we compute first- and higher-order corrections to various types of correlators. Our results align with existing calculations in the literature and demonstrate the viability of our method for general CFTs. |
| title | Systematic approach to correlators in $T\bar{T}$ deformed CFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.20516 |