Abstract
In the paper, we compute the correlation functions in 2D mathcal{N} = (1, 1) and mathcal{N} = (2, 2) superconformal field theories with Toverline{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 Toverline{T} deformation to the supersymmetric one.
Highlights
The T Tdeformation as a special deformation, has attracted much attention [5–28]
Since we will work in the Euclidean signature, we will focus on the correlation functions of the deformed superconformal field theory with N = (1, 1) and N = (2, 2) SUSY
In the present paper we investigated the correlation functions with T Tdeformation for N = (1, 1) and N = (2, 2) superconformal field theory perturbatively to the first order of the deformation
Summary
As an example consider the OTOC involving two fields φ, ψ1, from (45) in [19], at first order one of the four-point functions needed to compute is φ In the bosonic CFT, four-point correlators can be expressed as conformal blocks whose universal properties are known in some cases, the OTOC can be computed [73], while in eq (2.58) the function f is unknown in general. Φ1(Z1, Z1)Φ2(Z2, Z2)Φ3(Z3, Z3) = Zi−j ∆ij exp θij θij Aij Zij δQ1+Q2+Q3,0 i
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.