Yang-Mills-Einstein supergravity in seven dimensions.
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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)4S3, with surviving N=1 supersymmetry. 1985 The American Physical Society.