The geometry of branes and extended superspaces
Abstract
We argue that a description of supersymmetric extended objects from a unified geometric point of view requires an enlargement of superspace. To this aim we study in a systematic way how superspace groups and algebras arise from Grassmann spinors when these are assumed to be the only primary entities. In the process, we recover generalized spacetime superalgebras and extensions of supersymmetry found earlier. The enlargement of ordinary superspace with new parameters gives rise to extended superspace groups, on which manifestly supersymmetric actions may be constructed for various types of $p$-branes, including D-branes with their Born-Infeld fields. This results in a field/extended superspace democracy for superbranes. Our approach also clarifies some facts concerning the origin of the central charges for the different $p$-branes.Keywords
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