On Dimensional Reduction of Magical Supergravity Theories

TL;DR

This paper demonstrates the dimensional reduction of a specific magical supergravity theory to a nonlinear sigma model with a particular coset structure, providing insights into solution generation and algebraic characterizations.

Contribution

It explicitly constructs the reduced model and characterizes its Lie algebraic structure, extending the understanding of magical supergravities and their dimensional reductions.

Findings

The reduced model is F4(+4)/(USp(6)xSU(2)).

Provides a method for solution generation in supergravity.

Offers algebraic parameterizations of the original Lagrangian.

Abstract

We prove, by a direct dimensional reduction and an explicit construction of the group manifold, that the nonlinear sigma model of the dimensionally reduced three-dimensional A = R magical supergravity is F4(+4)/(USp(6)xSU(2)). This serves as a basis for the solution generating technique in this supergravity as well as allows to give the Lie algebraic characterizations to some of the parameters and functions in the original D = 5 Lagrangian. Generalizations to other magical supergravities are also discussed.