Dielectric D0-Branes in Near-Horizon D-Brane Backgrounds and D-Strings under Electric RR Fluxes

TL;DR

This paper investigates the dielectric effect of multiple D0-branes in curved D-brane backgrounds and under electric RR fluxes, revealing how D-strings can expand into D3-branes through noncommutative solutions.

Contribution

It introduces a consistent nonabelian Dirac-Born-Infeld framework to analyze dielectric effects in curved spacetime and constructs novel non-BPS solutions with external electric fluxes.

Findings

Confirmation of dielectric effect in curved spacetime via dual abelian description

Construction of noncommutative D-string to D3-brane solutions

Analysis of external field influence on funnel and wormhole configurations

Abstract

Using the nonabelian Dirac-Born-Infeld action with the Wess-Zumino term that is constructed in consistent with T duality we examine the Myers dielectric effect for multiple D0-branes in the near-horizon geometry of D4-branes. The effect in the curved spacetime is also confirmed by the dual formulation based on the abelian Dirac-Born-Infeld action of a D2-brane. Putting a system of muliple D-strings in the external electric RR five-form flux, we construct a noncommutative non-BPS solution where the D-strings expand into a spherical D3-brane. We discuss the external field dependence of the funnel-like or wormhole solution.