Bulk perturbations of N=2 branes

TL;DR

This paper investigates how supersymmetric N=2 branes evolve under bulk RG flow between minimal models, identifying which branes decouple and analyzing their behavior using Landau-Ginzburg and conformal field theory methods.

Contribution

It provides a detailed analysis of brane decoupling during RG flow in N=2 minimal models, combining Landau-Ginzburg and conformal field theory approaches.

Findings

Certain branes decouple from the IR theory.

A natural index pairing is preserved under RG flow.

Decoupling branes have vanishing index with surviving branes.

Abstract

The evolution of supersymmetric A-type D-branes under the bulk renormalization group flow between two different N=2 minimal models is studied. Using the Landau-Ginzburg description we show that a specific set of branes decouples from the infrared theory, and we make detailed predictions for the behavior of the remaining branes. The Landau-Ginzburg picture is then checked against a direct conformal field theory analysis. In particular we construct a natural index pairing which is preserved by the RG flow, and show that the branes that decouple have vanishing index with the surviving branes.