G2 Dualities in D=5 Supergravity and Black Strings

TL;DR

This paper explores the G2 symmetry in five-dimensional supergravity, using it to generate new black string solutions with various charges and analyzing their physical and thermodynamic properties.

Contribution

It introduces a method to generate new black string solutions in 5D supergravity using G2 symmetry transformations, including spinning electric and magnetic black strings.

Findings

Constructed spinning electric and magnetic black strings.

Analyzed thermodynamics of the new solutions.

Explored relations to black rings.

Abstract

Five dimensional minimal supergravity dimensionally reduced on two commuting Killing directions gives rise to a G2 coset model. The symmetry group of the coset model can be used to generate new solutions by applying group transformations on a seed solution. We show that on a general solution the generators belonging to the Cartan and nilpotent subalgebras of G2 act as scaling and gauge transformations, respectively. The remaining generators of G2 form a sl(2,R)+sl(2,R) subalgebra that can be used to generate non-trivial charges. We use these generators to generalize the five dimensional Kerr string in a number of ways. In particular, we construct the spinning electric and spinning magnetic black strings of five dimensional minimal supergravity. We analyze physical properties of these black strings and study their thermodynamics. We also explore their relation to black rings.