D1/D5 System with B-field, Noncommutative Geometry and the CFT of the Higgs Branch

TL;DR

This paper explores the D1/D5 brane system with an NS B field, providing explicit supergravity solutions, analyzing bound states and their gauge theory duals, and connecting to noncommutative Yang-Mills theories.

Contribution

It presents explicit supergravity solutions for the D1/D5 system with B-field, studies bound states and Higgs branch dynamics, and links the SCFT to noncommutative Yang-Mills theory.

Findings

Explicit supergravity solutions without D3 branes.

Existence of bound states in the Higgs branch.

Connection to noncommutative Yang-Mills theory.

Abstract

The D1/D5 system is considered in the presence of the NS B field. An explicit supergravity solution in the asymptotically flat and near horizon limits is presented. Explicit mass formulae are presented in both cases. This solution has no D3 source branes and represents a true bound state of the D1/D5 system. We study the motion of a separated D1-brane in the background geometry described above and reproduce the Liouville potential that binds the D1 brane. A gauge theory analysis is also presented in the presence of Fayet-Iliopoulos (FI) parameters which can be identified with the self-dual part of the NS B field. In the case of a single D5-brane and an arbitrary number of D1 branes we can demonstrate the existence of a bound state in the Higgs branch. We also point out the connection of the SCFT on the resolved Sym$_{Q_1Q_5}(\tilde T^4)$ with recent developments in non-commutative Yang-Mills theory.