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

He, S., Sun, J.-R., & Sun, Y. (in preparation). The correlation function of (1,1) and (2,2) supersymmetric theories with T bar{T} deformation.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-7344-D Version Permalink: http://hdl.handle.net/21.11116/0000-0005-7347-A
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1912.11461.pdf (Preprint), 288KB
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 Creators:
He, Song1, Author              
Sun, Jia-Rui, Author
Sun, Yuan, Author
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878              

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Free keywords: High Energy Physics - Theory, hep-th
 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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 Dates: 2019-12-24
 Publication Status: Not specified
 Pages: -
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 Rev. Method: -
 Identifiers: arXiv: 1912.11461
URI: http://arxiv.org/abs/1912.11461
 Degree: -

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