Anti-gravitating BPS monopoles and dyons

TL;DR

This paper demonstrates that certain exact static anti-gravitating monopole solutions in Einstein/Maxwell/dilaton-YM/Higgs theories are equivalent to string theory BPS monopoles at a specific dilaton coupling, revealing connections across theories.

Contribution

It establishes the equivalence of anti-gravitating monopole solutions with string theory BPS monopoles for a specific dilaton coupling and explores their properties and moduli space.

Findings

Equivalence of solutions at a=√3 with string theory BPS monopoles

Solutions also solve five-dimensional supergravity equations at this coupling

Discussion of dyon solutions and moduli space features

Abstract

We show that the exact static, i.e. `anti-gravitating', magnetic multi monopole solutions of the Einstein/Maxwell/dilaton-YM/Higgs equations found by Kastor, London, Traschen, and the authors, for arbitrary non-zero dilaton coupling constant $a$, are equivalent to the string theory BPS magnetic monopole solutions of Harvey and Liu when $a=\sqrt{3}$. For this value of $a$, the monopole solutions also solve the equations of five-dimensional supergravity/YM theory. We also discuss some features of the dyon solutions obtained by boosting in the fifth dimension and some features of the moduli space of anti-gravitating multi-monopoles.