Tachyon Condensation of D2/D4-Brane System in Noncommutative Gauge Theory

TL;DR

This paper develops a noncommutative gauge theory model to describe tachyon condensation in a D2/D4-brane system, revealing classical solutions that correspond to different condensation states and discussing the stability of certain configurations.

Contribution

It constructs a novel 2+1 dimensional noncommutative effective theory for D2/D4-brane tachyon dynamics, differing from the expected Abelian Higgs model, and analyzes classical solutions related to tachyon condensation.

Findings

Classical solutions correspond to different tachyon condensation states.

The stable self-dual D0/D4 configuration is highly calibrated and difficult to obtain analytically.

The effective theory differs from naive Abelian Higgs models.

Abstract

In this paper we construct the 2+1 effective theory of the light states in D2/D4-brane system in the context of noncommutative Yang-Mills theory. This effective theory is noncommutative and tachyonic, however, it is not taking the form of an Abelian Higgs model as naively expected. We solve the classical solutions of the effective theory which are nicely corresponding to different states during the tachyon condensation process of the dissolution of D2-brane into D4-brane. We also find that if the expected stable self-dual D0/D4 configuration as the unit-winding vortex exists, it would be highly calibrated in the effective theory and be out of the reach of the analytic solutions.