D2-branes with magnetic flux in the presence of RR fields

TL;DR

This paper investigates the stability and tunneling phenomena of D2-branes with magnetic flux in RR fields, revealing stable deformations and instanton-mediated tunneling processes within Born-Infeld theory.

Contribution

It introduces a detailed analysis of stable hemispherical deformations and tunneling mechanisms of D2-branes with magnetic flux in RR backgrounds, expanding understanding of brane dynamics.

Findings

Existence of stable hemispherical D2-brane deformations

Derivation of instanton-like tunneling configurations

Quantitative tunneling rate calculations

Abstract

D2-branes are studied in the context of Born-Infeld theory as a source of the 3-form RR gauge potential. Considering the static case with only a radial magnetic field it is shown that a locally stable hemispherical deformation of the brane exists which minimises the energy locally. Since the D2-brane carries also the charge of D0-branes, and the RR spacetime potential is unbounded from below, these can tunnel to condense on the D2-brane. The corresponding instanton-like configuration and the tunneling rate are derived and discussed.