Abstract
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.
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