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arXiv · 1912.11461

The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation

Song He·Jia-Rui Sun·Yuan Sun
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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.

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Song He, Jia-Rui Sun, Yuan Sun. 2019-12-24. The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation. https://doi.org/10.1007/jhep04(2020)100

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