Superbranes and Generic Curved Spacetime

Details Superbranes and Generic Curved Spacetime Superbranes and Generic Curved Spacetime

2005-05-13

arxiv.org/abs/hep-th/0505126v1

Physics

High Energy Physics

High Energy Physics - Theory

Invited talk at the III Summer School in Modern Mathematical Physics

Scientific paper

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. $\bar{SL}(D,R)$, i.e. $\bar{Diff}(D,R)$ infinite-component spinorial representations. Relevant constructions in the D=3 case are considered.

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