Gauge Theory and the Excision of Repulson Singularities

TL;DR

This paper investigates specific brane configurations leading to large-N gauge theories with supersymmetry, demonstrating a mechanism that excises repulson singularities and results in smooth geometries with enhanced gauge symmetry, linked to Seiberg-Witten theory.

Contribution

It introduces a novel mechanism for removing repulson singularities in certain brane-induced geometries, connecting them to large-N gauge theories and Seiberg-Witten theory.

Findings

Repulson singularities are excised by a unique mechanism.

Resulting geometries are smooth with enhanced gauge symmetry.

Connection established between spacetime geometries and large-N gauge theories.

Abstract

We study brane configurations that give rise to large-N gauge theories with eight supersymmetries and no hypermultiplets. These configurations include a variety of wrapped, fractional, and stretched branes or strings. The corresponding spacetime geometries which we study have a distinct kind of singularity known as a repulson. We find that this singularity is removed by a distinctive mechanism, leaving a smooth geometry with a core having an enhanced gauge symmetry. The spacetime geometry can be related to large-N Seiberg-Witten theory.