Yang-Mills Einstein supergravity in seven dimensions

Abstract

We construct couplings of n vector multiplets to seven-dimensional N=2 supergravity. The 3n scalars of the theory parametrize the coset SO(n,3)/SO(n)×SO(3). The (n+3) vector fields are used to gauge either an SO(3)×H (dimension H=n) or an SO(3,1)×H (dim H=n-3) subgroup of SO(n,3). The theory has an indefinite potential which triggers compactification into (Minkowski)4×S3, with surviving N=1 supersymmetry. © 1985 The American Physical Society.