Work

Systematic approach to correlators in T T ¯ deformed CFTs

Year: 2025
Type: article
Abstract: We investigate higher-order corrections to correlators in a general CFT (conformal field theory) with the double-trace T 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.
Authors: Song He, Yuan Sun, Jiashi Yin
Language: English
Open Access status: hybrid
OpenAlex ID: W4409412292
FWCI: 3.781
Cites: 51
Cited by: 8
Related to: 10