On the instability of effective potential for non-abelian toroidal D-brane

TL;DR

This paper calculates the one-loop effective potential for a non-abelian toroidal D-brane with a constant magnetic SU(2) gauge field, revealing its unbounded nature and indicating instability similar to chromomagnetic vacuum in gauge theory.

Contribution

It provides the first calculation of the effective potential for non-abelian toroidal D-branes with magnetic backgrounds, highlighting their inherent instability.

Findings

The effective potential is unbounded below.

The D-brane background is unstable.

Analogous to chromomagnetic vacuum instability.

Abstract

We calculate the one-loop effective potential for the toroidal non-abelian D-brane in the constant magnetic SU(2) gauge field. The study of its properties shows that the potential is unbounded below. This fact indicates the instability of the non-abelian D-brane in the background under consideration like the instability of chromomagnetic vacuum in SU(2) gauge theory.