Abstract

The authors show that the Riemannian manifold characterising the scalar field interactions of d=9 Maxwell-Einstein (ME) supergravity is the convex cone associated with a Jordan algebra of degree 2. The result is similar to that of a class of d=5, N=2, ME supergravity theories associated with Jordan algebras of degree 3. They also construct the unique irreducible d=9 Yang-Mills supergravity which has non-compact gauge group Sl(2; R).

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