Dipole-Deformed Bound States and Heterotic Kodaira Surfaces

TL;DR

This paper explores bound states in a specific N=1 gauge theory using supergravity solutions, revealing new effects like dipole deformations and analyzing heterotic dual geometries with exotic bundles.

Contribution

It provides a detailed study of dipole deformations and bound states in a confining gauge theory with a novel supergravity approach and heterotic dual analysis.

Findings

Supergravity solutions are tractable despite complex topology.

Dipole deformations lead to different warped geometries.

Identification of exotic bundles in heterotic geometry.

Abstract

We study a particular N = 1 confining gauge theory with fundamental flavors realised as seven branes in the background of wrapped five branes on a rigid two-cycle of a non-trivial global geometry. In parts of the moduli space, the five branes form bound states with the seven branes. We show that in this regime the local supergravity solution is surprisingly tractable, even though the background topology is non-trivial. New effects such as dipole deformations may be studied in detail, including the full backreactions. Performing the dipole deformations in other ways leads to different warped local geometries. In the dual heterotic picture, which is locally given by a C* fibration over a Kodaira surface, we study details of the geometry and the construction of bundles. We also point out the existence of certain exotic bundles in our framework.