Generalized geometry and nonlinear realization of generalized diffeomorphism on D-brane effective action

TL;DR

This paper explores how generalized geometry provides a framework for understanding the invariance of the D-brane DBI action under generalized diffeomorphisms, revealing a nonlinear realization of these symmetries.

Contribution

It demonstrates that the D-brane DBI action is invariant under generalized diffeomorphisms and B-transformations, with a nonlinear realization on D-brane fluctuations.

Findings

DBI action invariant under generalized diffeomorphisms

Nonlinear realization of symmetries on D-brane fluctuations

Connection between generalized geometry and D-brane effective actions

Abstract

The characterization of the DBI action of a Dp-brane using the generalized geometry is discussed. It is shown that the DBI action is invariant under the diffeomorphism and B-transformation of the generalized tangent bundle of the target space. The symmetry is realized non-linearly on the fluctuation of the D-brane.