D-brane in R-R Field Background

TL;DR

This paper investigates the effective theory of D-branes in R-R field backgrounds, deriving a dual gauge symmetry structure from M5-brane theory with a C-field, and generalizing to Dp-branes.

Contribution

It introduces a novel description of D-branes in R-R backgrounds using a dual gauge symmetry derived from M5-brane theory with a C-field.

Findings

VPD gauge potential is dual to U(1) gauge potential.

The theory includes both U(1) gauge symmetry and volume-preserving diffeomorphism.

Results generalize to Dp-branes.

Abstract

The purpose of this paper is to understand the low energy effective theory of a Dp-brane in the background of a large constant R-R (p-1)-form field. We start with the M5-brane theory in large C-field background. The C-field background defines a 3-dimensional volume form on an M5-brane, and it is known that the low energy M5-brane theory can be described as a Nambu-Poisson gauge theory with the volume-preserving diffeomorphism symmetry (VPD). Via a double dimensional reduction we obtain a D4-brane in R-R 3-form field background. This theory has both the usual U(1) gauge symmetry and the new symmetry of VPD. We find that the gauge potential for VPD is electric-magnetic dual to the U(1) gauge potential, sharing the same physical degrees of freedom. The result can be generalized to Dp-branes.