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A systematic approach to correlators in TTˉTTˉ deformed CFTs

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He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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2310.20516.pdf
(Preprint), 862KB

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Citation

He, S., Sun, Y., & Yin, J. (in preparation). A systematic approach to correlators in TTˉTTˉ deformed CFTs.


Cite as: https://hdl.handle.net/21.11116/0000-000D-E1FF-6
Abstract
We investigate higher-order corrections to correlators in a general CFT with
the double trace $T\bar{T}$ deformation. Traditional perturbation theory proves
inadequate for addressing this issue, 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
trace relation and conservation property of the stress tensor to establish
relationships between higher and lower-order corrections and subsequently
determine the correlators by enforcing symmetry properties. As an illustration,
we compute both first and higher-order corrections, demonstrating the impact of
stress tensor deformation on correlators in a general deformed CFT. Our results
align with existing calculations in the literature.