The correlation function of (1, 1) and (2, 2) supersymmetric theories with TT¯ deformation

In the paper, we compute the correlation functions in 2D N = (1 , 1) and N = (2 , 2) superconformal field theories with T T ¯ deformation up to the first order of the deformation in terms of perturbation theory. With the help of superconformal Ward identity in N = (1 , 1) and N = (2 , 2) theories an...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2020; no. 4
Main Authors He, Song, Sun, Jia-Rui, Sun, Yuan
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Correlation
Deformation
Elementary Particles
High energy physics
Perturbation theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Regularization
Relativity Theory
String Theory
Supersymmetry
Conformal Field Theory
Integrable Field Theories
Extended Supersymmetry
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Summary:In the paper, we compute the correlation functions in 2D N = (1 , 1) and N = (2 , 2) superconformal field theories with T T ¯ deformation up to the first order of the deformation in terms of perturbation theory. With the help of superconformal Ward identity in N = (1 , 1) and 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 T ¯ deformation to the supersymmetric one.
ISSN:1029-8479
DOI:10.1007/JHEP04(2020)100