Bulk induced boundary perturbations for N=1 superconformal field theories

TL;DR

This paper studies how boundary conditions in N=1 superconformal theories on a circle evolve under radius-changing perturbations, revealing boundary RG flows between different branes.

Contribution

It extends the analysis of boundary RG flows to N=1 superconformal theories, identifying how superconformal boundary conditions transform under bulk perturbations.

Findings

Boundary RG flows lead to superpositions of Dirichlet or Neumann branes.

Additional superconformal boundary conditions exist at rational radii.

Bulk perturbations induce boundary condition transformations similar to the bosonic case.

Abstract

The N=1 superconformal circle theory consisting of a free boson and a free fermion is considered. At any radius the theory has standard Dirichlet and Neumann branes, but for rational radii there are additional superconformal boundary conditions that are labelled by elements in a quotient of SU(2). We analyse how these branes behave under the radius-changing bulk perturbation. As in the bosonic case, the bulk perturbation induces in general a boundary RG flow whose end-point is a superposition of Dirichlet or Neumann branes.