Bertotti-Robinson and soliton string solutions of $D=5$ minimal supergravity

TL;DR

This paper introduces new solutions in five-dimensional minimal supergravity, including near-horizon geometries, solitons, and multi-center configurations, using duality techniques and dimensional reduction methods.

Contribution

It presents novel generalized Bertotti-Robinson solutions, duality-based generating techniques, and new regular dyonic solitons and multi-center solutions in five-dimensional supergravity.

Findings

Derived new near-horizon solutions with fluxes

Constructed globally regular dyonic solitons

Developed methods to generate asymptotically flat solutions

Abstract

We report on a series of new solutions to five-dimensional minimal supergravity. Our method applies to space-times with two commuting Killing symmetries and consists in combining dimensional reduction on two-spaces of constant curvature with reduction on a two-torus. The first gives rise to various generalized Bertotti-Robinson solutions supported by electric and magnetic fluxes, which presumably describe the near-horizon regions of black holes and black rings (strings). The second provides generating techniques based on U-duality of the corresponding three-dimensional sigma model. We identify duality transformations relating the above solutions to asymptotically flat ones and obtain new globally regular dyonic solitons. Some new extremal asymptotically flat multi-center solutions are constructed too. We also show that geodesic solutions of three-dimensional sigma models passing through the same target space point generically split into disjoint classes which cannot be related by the isotropy subgroup of U-duality.