De Sitter solutions in N = 4 matter coupled supergravity

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. © SISSA/ISAS 2003.