On full-fledged supergravity cosmologies and their Weyl group asymptotics

TL;DR

This paper explores specific cosmological solutions within N=2 supergravity theories, demonstrating their integrability, upliftability to four and ten dimensions, and their algebraic structure characterized by Heisenberg-type symmetries.

Contribution

It provides explicit constructions of supergravity cosmologies with Heisenberg algebra symmetries and details their uplift from three to four and ten dimensions.

Findings

Solutions are integrable in three dimensions.

Explicit examples for the S-T-U model are provided.

Uplift to 10 dimensions is achieved via type IIB supergravity truncation.

Abstract

We consider a class of cosmological solutions of d=4, N=2 supergravity theories coupled to vector multiplets. The solutions result from performing a compactification to three dimensions, where the theory reduces to a symmetric space sigma model coupled to gravity and where the resulting equations of motion are integrable. We describe in detail how the three-dimensional solutions can be uplifted to four dimensions again. The four-dimensional cosmologies are generically characterized by an algebra of translational isometries that is of Heisenberg type. We give explicit examples of these cosmologies for the S-T-U model and comment also on their uplift to 10 dimensions by interpreting them as solutions of a truncation of type IIB supergravity on a K3 x T^2/Z_2 orientifold.