Time-Dependent Warping, Fluxes, and NCYM

TL;DR

This paper constructs supergravity solutions dual to D6-branes with time-dependent and independent B-fields, revealing new warped backgrounds, flux configurations, and a supergravity analogue of the Seiberg-Witten map for non-commutative gauge theories.

Contribution

It introduces a novel class of supergravity solutions with asymmetric warp factors and fluxes, extending the understanding of non-commutative gauge theories and warped backgrounds.

Findings

New supergravity backgrounds with asymmetric warp factors.

Emergence of localized gauge fields with open string metric analogues.

A gravitational analogue of the Seiberg-Witten map.

Abstract

We describe the supergravity solutions dual to D6-branes with both time-dependent and time-independent B-fields. These backgrounds generalize the Taub-NUT metric in two key ways: they have asymmetric warp factors and background fluxes. In the time-dependent case, the warping takes a novel form. Kaluza-Klein reduction in these backgrounds is unusual, and we explore some of the new features. In particular, we describe how a localized gauge-field emerges with an analogue of the open string metric and coupling. We also describe a gravitational analogue of the Seiberg-Witten map. This provides a framework in supergravity both for studying non-commutative gauge theories, and for constructing novel warped backgrounds.