De Sitter solutions in N=4 matter coupled supergravity

TL;DR

This paper analyzes the scalar potential in gauged N=4 supergravity with matter, finding explicit extremum solutions and a de Sitter vacuum with positive cosmological constant in specific cases.

Contribution

It provides explicit parametrizations of matter scalar constraints and explores de Sitter solutions in N=4 supergravity with matter multiplets.

Findings

Explicit extremum in scalar potential for arbitrary matter multiplets

Solution of matter scalar constraints using SO(6,6+n) parametrization

Discovery of a de Sitter vacuum with positive cosmological constant

Abstract

We investigate the scalar potential of gauged N=4 supergravity with matter. The extremum in the SU(1,1)/U(1) scalars is obtained for an arbitrary number of matter multiplets. The constraints on the matter scalars are solved in terms of an explicit parametrisation of an SO(6,6+n) element. For the case of six matter multiplets we discuss both compact and noncompact gauge groups. In an example involving noncompact groups and four scalars we find a potential with an absolute minimum and a positive cosmological constant.