Superbranes and Generic Curved Spacetime
Abstract
Embedding of a bosonic and/or fermionic p-brane into a generic curved D-dimensional spacetime is considered. In contradistinction to the bosonic p-brane case, when there are no constraints on a generic curving whatsoever, the usual superbrane can be embedded into a curved spacetime of a restricted curving only. A generic curving is achieved by extending the odd sector of a superbrane as to transform w.r.t. SL(D,R), i.e. Diff(D,R) infinite-component spinorial representations. Relevant constructions in the D=3 case are considered.
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