A Geometric Realization of Confinement

TL;DR

This paper explores the geometric interpretation of confinement in string theory, linking magnetic flux confinement to D-brane configurations and analyzing moduli corrections near special points in Calabi-Yau compactifications.

Contribution

It provides a novel geometric realization of confinement in string theory through D-brane configurations and studies moduli corrections near the conifold point.

Findings

Magnetic charges arise from D-branes wrapped on chains.

Confining flux tubes are represented by closed cycles in the geometry.

Hypermultiplet moduli receive specific corrections near the conifold point.

Abstract

We study the geometric realization of the Higgs phenomenon in type II string compactifications on Calabi--Yau manifolds. The string description is most directly phrased in terms of confinement of magnetic flux, with magnetic charged states arising from D-branes wrapped around chains as opposed to cycles. The rest of the closed cycle of the D-brane worldvolume is manifested as a confining flux tube emanating from the magnetic charges, in the uncompactified space. We also study corrections to hypermultiplet moduli for type II compactifications, in particular for type IIA near the conifold point.