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Correlation functions of CFTs on a torus with a T¯T deformation

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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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Fulltext (public)

2004.07486.pdf
(Preprint), 237KB

PhysRevD.102.026023.pdf
(Publisher version), 352KB

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Citation

He, S., & Sun, Y. (2020). Correlation functions of CFTs on a torus with a T¯T deformation. Physical Review D, 102(2): 026023. doi:10.1103/PhysRevD.102.026023.


Cite as: http://hdl.handle.net/21.11116/0000-0006-6FF0-F
Abstract
In this paper, we investigate the correlation functions of the conformal field theory (CFT) with the $T\bar{T}$ deformation on torus in terms of perturbative CFT approach, which is the extension of the previous investigations on correlation functions defined on a plane. We systematically obtain the first order correction to the correlation functions of the CFTs with $T\bar{T}$ deformation in both operator formalism and path integral language, and later generalize it to the higher order perturbations which are involved in the multiple $T$ and $\bar{T}$ insertion. As consistenty checks, we compute the deformed partition function, namely zero-point correlation function, up-to leading order and check the results in the free field theories as examples. Further, we also get the second order formula of the partition function which is consistent with previous result in literature.