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

He, Song; Sun, Jia-Rui; Sun, Yuan

doi:10.1007/JHEP04(2020)100

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

Song He
(
- Jilin U. and
- Potsdam, Max Planck Inst.
)
,
Jia-Rui Sun
(
- Zhongshan U. and
- SYSU, Guangzhou
)
,
Yuan Sun
(
- Zhongshan U.
)

Dec 24, 2019

42 pages

Published in:

JHEP 04 (2020) 100

Published: Apr 16, 2020

e-Print:

1912.11461 [hep-th]

DOI:

10.1007/JHEP04(2020)100

View in:

reference search40 citations

Citations per year

Abstract: (Springer)

In the paper, we compute the correlation functions in 2D

\mathcal{N}

= (1, 1) and

\mathcal{N}

= (2, 2) superconformal field theories with

T\overline{T}

deformation up to the first order of the deformation in terms of perturbation theory. With the help of superconformal Ward identity in

\mathcal{N}

= (1, 1) and

\mathcal{N}

= (2, 2) theories and careful regularization, the correlation functions in the deformed theory can be obtained up to the first order perturbation. This study is the extension from previous bosonic

T\overline{T}

deformation to the supersymmetric one.

Note:

43 pages, published version

Conformal Field Theory
Integrable Field Theories
Extended Supersymmetry
field theory: conformal
regularization: dimensional
Ward identity: conformal
correlation function
deformation
supersymmetry
perturbation theory

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Figures(0)

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

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