D-brane in R-R Field Background
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.
Keywords
Cite
@article{arxiv.1101.4054,
title = {D-brane in R-R Field Background},
author = {Pei-Ming Ho and Chi-Hsien Yeh},
journal= {arXiv preprint arXiv:1101.4054},
year = {2011}
}
Comments
26 pages, latex, minor modification in the introduction section