On the Superstring Realization of the Yang Monopole

TL;DR

This paper constructs a six-dimensional Yang monopole using string theory dualities, D-branes, and K3 surface compactifications, providing geometric and physical insights into its charges and relation to M-theory.

Contribution

It presents a novel string-theoretic realization of the Yang monopole via Type IIA D-branes and K3 compactification, linking it to heterotic M-theory.

Findings

Encoding of magnetic solution in K3 surface geometry

Geometrical interpretation of monopole charges

Relation to heterotic M-theory configurations

Abstract

Based on the result of string/string duality, we construct the six dimensional Yang monopole in terms of Type IIA wrapped D-branes. In particular, we show that all the information of such a magnetic solution can be encoded in the K3 surface compactification in the presence of D2 and D4-branes wrapping its non trivial cycles. We give a geometrical and physical interpretations for the {+1,-1} Yang monopole charges. Lifting to eleven dimensions, we relate this Type IIA configuration with the heterotic M-theory one, given in hep-th/0607193. The nature of the black Yang monopole is also discussed.