The gauge invariance of the non-Abelian Chern-Simons action for D-branes revisited

Abstract

We present an elegant method to prove the invariance of the Chern-Simons part of the non-Abelian action for N coinciding D-branes under the R-R and NS-NS gauge transformations, by carefully defining what is meant by a background gauge transformation in the non-Abelian world volume action. We study as well the invariance under massive gauge transformations of the massive Type IIA supergravity and show that no massive dielectric couplings are necessary to achieve this invariance. We show that this result is consistent with (massive) T-duality from the non-Abelian action for N D9-branes.

Latex, 11 pages. v2: reference added. v3: minor changes and typos corrected. version to appear in Phys. Lett. B

References in corpus (3)

• General covariance of the non-abelian DBI-action
• N=1 Worldsheet Boundary Couplings and Covariance of non-Abelian Worldvolume Theory
• On the Gauge Invariance of the Chern-Simons Action for N D-Branes

Cited by in corpus (8)

• On Matrix Geometry and Effective Actions
• Interaction between M2-branes and Bulk Form Fields
• Coupling M2-branes to background fields
• On the gauge invariance and coordinate transformations of non-Abelian D-brane actions
• The group structure of non-Abelian NS-NS transformations
• Comparing two definitions for gauge variations of dielectric D-branes
• Abelian Gauge Invariance of the WZ-type Coupling in ABJM Theory
• Multiple fundamental strings and waves to non-linear order in the background fields