RG domain wall for the N=1 minimal superconformal models

TL;DR

This paper constructs an RG domain wall between two minimal N=1 superconformal models, explicitly calculating mixing coefficients and confirming their agreement with perturbative results, thus advancing understanding of RG flows in superconformal theories.

Contribution

It explicitly specifies Gaiotto's RG domain wall proposal for N=1 minimal superconformal models and computes mixing coefficients matching perturbative analyses.

Findings

Exact match of mixing coefficients with perturbative results

Explicit calculation of RG domain wall for N=1 superconformal models

Confirmation of Gaiotto's proposal in this context

Abstract

We specify Gaiotto's proposal for the RG domain wall between some coset CFT models to the case of two minimal N=1 SCFT models $SM_p$ and $SM_{p-2}$ related by the RG flow initiated by the top component of the Neveu-Schwarz superfield $\Phi_{1,3}$ . We explicitly calculate the mixing coefficients for several classes of fields and compare the results with the already known in literature results obtained through perturbative analysis. Our results exactly match with both leading and next to leading order perturbative calculations.