Ramond-Ramond Flux Stabilization of D-Branes

TL;DR

This paper studies how Ramond-Ramond flux stabilizes D-branes wrapped on spheres in AdS x S spaces, revealing stable configurations that behave like fundamental strings and introducing the concept of a semi-infinite 'lasso' D-brane.

Contribution

It demonstrates the stability of wrapped D-branes in flux backgrounds and introduces the 'lasso' D-brane configuration, expanding understanding of flux-brane interactions.

Findings

Wrapped D-branes are stable under flux quantization.

Wrapped D-branes behave as fundamental strings in AdS spaces.

Introduction of semi-infinite 'lasso' D-brane configuration.

Abstract

In AdS_n x S^m threaded by N-units of Ramond-Ramond flux, the dynamics of a Dm-brane wrapped on S^{m-1} embedded in S^m is investigated. Under the condition that flux of the dual gauge field on the D-brane worldvolume is quantized integrally, It is found that the wrapped D-brane is stable both locally and globally and, on AdS_n, behaves effectively as a fundamental string. It is also claimed that the semi-infinite partially wrapped D-brane `lasso' around the S^m.