Linear Models of Supersymmetric D-Branes

TL;DR

This paper develops supersymmetric boundary interactions in N=2 theories to analyze D-branes on special submanifolds, connecting open string field theory with mirror symmetry and identifying mirror pairs of D-branes.

Contribution

It introduces a class of boundary interactions that are non-renormalized beyond one-loop, facilitating the study of D-branes on Lagrangian and holomorphic cycles in a unified framework.

Findings

Constructed supersymmetric boundary interactions for N=2 theories.

Identified mirror pairs of Lagrangian and holomorphic D-branes.

Connected brane configurations with open topological field theories.

Abstract

We construct a class of supersymmetric boundary interactions in N=2 field theories on the half-space, which depend on parameters that are not at all renormalized or not renormalized in perturbation theory beyond one-loop. This can be used to study D-branes wrapped on a certain class of Lagrangian submanifolds as well as holomorphic cycles. The construction of holomorphic D-branes is in close relationship with the background independent open string field theory approach to brane/anti-brane systems. As an application, mirror pairs of Lagrangian and holomorphic D-branes are identified. The mirror pairs are studied by twisting to open topological field theories.