Dielectric branes in non-trivial backgrounds

TL;DR

This paper develops a method to evaluate the action of dielectric branes in complex backgrounds that can be expressed in Kaluza-Klein form, demonstrating the construction of stable dielectric systems in specific geometries.

Contribution

It introduces a procedure to compute dielectric brane actions in non-trivial backgrounds with Kaluza-Klein structure, including the gauging away of the wrapping factor.

Findings

Constructed stable dielectric brane systems in AdS_5xS^5 and AdS_3xS^3xT^4 backgrounds.

Demonstrated the gauging away of the wrapping factor in these backgrounds.

Provided a general method applicable to various non-trivial geometries.

Abstract

We present a procedure to evaluate the action for dielectric branes in non-trivial backgrounds. These backgrounds must be capable to be taken into a Kaluza-Klein form, with some non-zero wrapping factor. We derive the way this wrapping factor is gauged away. Examples of this are AdS_5xS^5 and AdS_3xS^3xT^4, where we perform the construction of different stable systems, which stability relies in its dielectric character.