Hidden symmetries in minimal five-dimensional supergravity

TL;DR

This paper investigates the hidden symmetries that emerge when reducing five-dimensional supergravity to three dimensions, including both bosonic and fermionic components, revealing the local SO(4) symmetry.

Contribution

It extends previous work by deriving the full symmetry structure, including fermionic terms, in the dimensional reduction of five-dimensional supergravity.

Findings

Identification of local SO(4) symmetry in the reduced theory

Inclusion of fermionic terms in symmetry analysis

Enhanced understanding of hidden symmetries in supergravity

Abstract

We study the hidden symmetries arising in the dimensional reduction of d=5, N=2 supergravity to three dimensions. Extending previous partial results for the bosonic part, we give a derivation that includes fermionic terms, shedding light on the appearance of the local hidden symmetry SO(4) in the reduction.