Supersymmetric D-branes on SU(2) structure manifolds

TL;DR

This paper uses generalized complex geometry to study supersymmetric D-brane embeddings in SU(2) structure manifolds, including those related to deformations of N=4 SYM, and interprets their dual gauge theory implications.

Contribution

It introduces a method to analyze supersymmetric D-brane embeddings on SU(2) structure manifolds, encompassing deformations of N=4 SYM, and proposes their gauge theory duals.

Findings

Identified supersymmetric D-brane configurations with various dimensions.

Connected D-brane embeddings to deformations of N=4 SYM.

Proposed dual gauge theory interpretations for the embeddings.

Abstract

We employ generalized complex geometry to investigate supersymmetric embeddings of D-brane probes in a large class of SU(2) structure manifolds. This class includes the gravity dual of mass deformation and marginal beta deformation of N=4 SYM gauge theory. We find supersymmetric configurations of D-branes with different dimensionality and propose their interpretation in the dual gauge theory.