The Yang Monopole in IIA Superstring: Multi-charge Disease and Enhancon Cure

TL;DR

This paper reexamines the Type IIA superstring realization of the Yang Monopole, resolving charge issues through the model's inherent features and revealing deep connections between geometry, noncommutative spaces, and dualities in string theory.

Contribution

It introduces a refined brane model for the Yang Monopole that addresses charge inconsistencies and explores its relation to noncommutative geometry and dual string theories.

Findings

Charge problems are resolved within the brane model.

The incompatibility leads to the emergence of enhancon shells and fuzzy geometry.

The model suggests deep links between geometry and noncommutative spaces.

Abstract

A brane picture in Type IIA superstring for the Yang Monopole is reconsidered. It makes use of D2 and D4-branes wrapped on cycles in the K3 surface. When the model was first presented some problems concerning the charges of the monopoles arised. In this paper, they are shown to be cured by the model itself. Surprisingly, the incompatibility between the multi-charge configuration and the spherical symmetry of the Yang Monopole is seen in the brane description as the emergence of the enhancon shell and the fuzzy geometry. This consistency is deep and surprising, and is the point that triggered this work. It nontrivially relates a purely geometrical problem in ordinary spacetime with the emergence of noncommutative geometries. Besides, this paper includes an extended model for SO(4)-monopoles, a T-dual model in Type IIB superstring and an analysis on the possible duality between our model and another setup in M-Theory/Heterotics for the Yang monopole found before.