New gauge supergravity in seven-dimensions and eleven-dimensions
Oct, 1997
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Abstract:
Locally supersymmetric systems in odd dimensions whose Lagrangians are Chern-Simons forms for supersymmetric extensions of anti-de Sitter gravity are discussed. The construction is illustrated for D=7 and 11. In seven dimensions the theory is an N=2 supergravity whose fields are the vielbein (), the spin connection (), two gravitini () and an gauge connection (). These fields form a connection for . In eleven dimensions the theory is an N=1 supergravity containing, apart from and , one gravitino , and a totally antisymmetric fifth rank Lorentz tensor one-form, . These fields form a connection for . The actions are by construction invariant under local supersymmetry and the algebra closes off shell without requiring auxiliary fields. The -theory can be shown to have nonnegative energy around an AdS background, which is a classical solution that saturates the Bogomolnyi bound obtained from the superalgebra.- supergravity
- gauge field theory
- Chern-Simons term
- dimension: 7
- dimension: 11
- space-time: anti-de Sitter
- algebra: OSp(N,M)
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