Symplectic covariance of the N=2 hypermultiplets

TL;DR

This paper reformulates the hypermultiplet sector of five-dimensional N=2 supergravity to be explicitly symplectic-covariant, aiding the study of hypermultiplet interactions with p-brane sources.

Contribution

It introduces a symplectic-covariant formulation of hypermultiplets in five-dimensional N=2 supergravity, enhancing analytical and construction capabilities.

Findings

Successful recasting into symplectic form

Simplified analysis of p-brane couplings

Facilitated future hypermultiplet studies

Abstract

The main objective of this article is to recast the hypermultiplets sector of five dimensional ungauged N=2 supergravity into a manifestly symplectic-covariant form. We propose that this facilitates the construction and analysis of hypermultiplet fields coupled to p-brane sources and discuss examples.