SO(4) gauging of N = 2 supergravity in seven dimensions
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We obtain N = 2 supergravity theory coupled to N = 2 matter by truncation of the N = 4 theory in seven dimensions. The truncated theory possess global GL(4, R) local composite SO(4) invariance. We then gauge the global SO(4) subgroup of GL(4, R), and preserve the composite SO(4) symmetry, following the method of de Wit and Nicolai in d = 4. The resulting action has a potential which contains all ten scalars of the theory. The single second rank antisymmetric tensor field in the theory has a generalized field strength, which contains the Chern-Simons three-form. 1983.