D = 3 Unification of Curious Supergravities

TL;DR

This paper unifies four maximal-rank supergravities in three dimensions, revealing how their symmetries merge and providing insights into their cosmological applications, especially in the context of alpha-attractors.

Contribution

It presents a unification framework for curious supergravities in D=3, connecting their symmetry groups and exploring implications for cosmological models.

Findings

Unified symmetry structure in D=3 supergravities

Connection between Ehlers group and dualities in lower dimensions

Implications for alpha-attractor cosmological models

Abstract

We consider the dimensional reduction to D = 3 of four maximal-rank supergravities which preserve minimal supersymmetry in D = 11, 7, 5 and 4. Such "curious" theories were investigated some time ago, and the four-dimensional one corresponds to an N = 1 supergravity with 7 chiral multiplets spanning the seven-disk manifold. Recently, this latter theory provided cosmological models for alpha-attractors, which are based on the disk geometry with possible restrictions on the parameter alpha. A unified picture emerges in D = 3, where the Ehlers group of General Relativity merges with the S-, T- and U- dualities of the D = 4 parent theories.