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The correlation function of (1, 1) and (2, 2) supersymmetric theories with TT¯ 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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1912.11461.pdf
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Citation

He, S., Sun, J.-R., & Sun, Y. (2020). The correlation function of (1, 1) and (2, 2) supersymmetric theories with TT¯ deformation. Journal of High Energy Physics, 2020(4): 100. doi:10.1007/JHEP04(2020)100.


Cite as: https://hdl.handle.net/21.11116/0000-0005-7344-D
Abstract
In the paper, based on recent studies on $T\bar{T}$ deformation of 2D field
theory with supersymmetry, we investigate the deformed correlation functions in
$\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$ 2D superconformal field theories.
Up to the leading order in perturbation theory, we compute the correlation
functions under $T\bar{T}$ deformation. The correlation functions in these
undeformed theories are almost known, and together with the help of
superconformal Ward identity in $\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$
theories respectively we can obtain the correlation functions with operator
$T\bar{T}$ inserted. Finally, by employing dimensional regularization, we can
work out the integrals in the first order perturbation. The study in this paper
extends previous works on the correlation functions of $T\bar{T}$ deformed
bosonic CFT to the supersymmetric case.