Systematic approach to correlators in deformed CFTs
arXiv:2310.20516 · doi:10.1103/PhysRevD.111.086016
Abstract
We investigate higher-order corrections to correlators in a general CFT (conformal field theory) with the double-trace 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.
18 pages, 1 figure. Matches published version
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