Zero-branes and the symplectic hypermultiplets

TL;DR

This paper investigates the scalar fields in five-dimensional N=2 hypermultiplets using symplectic covariance, identifying two solutions for static spherically symmetric backgrounds, including a BPS zero-brane with explicit solutions.

Contribution

It introduces a symplectic covariant approach to analyze hypermultiplet scalars and characterizes the solutions, including a BPS zero-brane, in this framework.

Findings

Identifies two solutions for scalar fields in symmetric backgrounds

Provides explicit symplectic solutions for the BPS zero-brane

Derives conditions for full spacetime understanding of solutions

Abstract

We study the scalar fields of the five-dimensional N=2 hypermultiplets using the method of symplectic covariance developed in previous work. For static spherically symmetric backgrounds, we show that exactly two possibilities exist. One of them is a Bogomol'nyi-Prasad-Sommerfeld (BPS) zero-brane carrying charge under the hypermultiplets. We find an explicitly symplectic solution of the fields in this background and derive the conditions required for a full spacetime understanding.