Genus two correlation functions in CFTs with TT deformation

He, Song; Li, Yun-Ze

doi:10.1007/s11433-022-2049-1

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Genus two correlation functions in CFTs with TT deformation

MPG-Autoren

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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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Zitation

He, S., & Li, Y.-Z. (2023). Genus two correlation functions in CFTs with TT deformation. Science China Physics, Mechanics & Astronomy, 66: 251011. doi:10.1007/s11433-022-2049-1.

Zitierlink: https://hdl.handle.net/21.11116/0000-0009-FA59-A

Zusammenfassung

We construct the correlation functions of conformal field theories (CFTs) on
genus two Riemann surface with the $T\bar{T}$ deformation in terms of
perturbative CFT approach. Thanks to sewing construction to form higher genus
Riemann surface from lower genus ones and conformal symmetry, we systematically
obtain the first order $T\bar{T}$ correction to the higher genus correlation
functions in the $T\bar{T}$ deformed CFTs, e.g. partition function and
one/higher-point correlation functions. In the weak coupling limit, the higher
genus correlation functions can be decomposed by lower genus correlation
functions. Our results offer $T\bar{T}$ deformed field theories data to allow
us to extract quantum chaos signals and multiple-interval R\'{e}nyi entropies
in deformed field theories.