A and B branes from N=2 superspace

TL;DR

This paper develops a local N=2 superspace framework for describing A and B branes on Kähler manifolds, enabling better understanding of coisotropic A branes and higher order corrections to the Born-Infeld action.

Contribution

It introduces a manifestly supersymmetric, local N=2 superspace formulation for A and B branes, including a novel description of coisotropic A branes and higher loop beta-function computations.

Findings

Realization of N=2 superspace description for type A boundaries

Efficient computation of higher loop beta-functions for B branes

Derivation of fourth order derivative correction to Born-Infeld action

Abstract

We present a manifestly supersymmetric description of A and B branes on Kaehler manifolds using a completely local N=2 superspace formulation of the world-sheet nonlinear sigma-model in the presence of a boundary. In particular, we show that an N=2 superspace description of type A boundaries is possible. This leads to a concrete realization of the still poorly understood coisotropic A branes. We also discuss briefly how the superspace description of a B brane provides an efficient way to compute higher loop beta-functions. In particular, we sketch how one obtains the fourth order derivative correction to the Born-Infeld action by using a beta-function method.