Superbranes, D=11 CJS supergravity and enlarged superspace coordinates/fields correspondence

Details Superbranes, D=11 CJS supergravity and enlarged superspace coordinates/fields correspondence Superbranes, D=11 CJS supergravity and enlarged superspace coordinates/fields correspondence

2005-01-25

arxiv.org/abs/hep-th/0501198v1

AIP Conf.Proc.767:243-267,2005

Physics

High Energy Physics

High Energy Physics - Theory

plain latex, 29 pages, no figures. To appear in the Am. Inst. of Phys. Proc. Series

Scientific paper

10.1063/1.1923338

We discuss the r\^ole of enlarged superspaces in two seemingly different contexts, the structure of the $p$-brane actions and that of the Cremmer-Julia-Scherk eleven-dimensional supergravity. Both provide examples of a common principle: the existence of an {\it enlarged superspaces coordinates/fields correspondence} by which all the (worldvolume or spacetime) fields of the theory are associated to coordinates of enlarged superspaces. In the context of $p$-branes, enlarged superspaces may be used to construct manifestly supersymmetry-invariant Wess-Zumino terms and as a way of expressing the Born-Infeld worldvolume fields of D-branes and the worldvolume M5-brane two-form in terms of fields associated to the coordinates of these enlarged superspaces. This is tantamount to saying that the Born-Infeld fields have a superspace origin, as do the other worldvolume fields, and that they have a composite structure. In $D$=11 supergravity theory enlarged superspaces arise when its underlying gauge structure is investigated and, as a result, the composite nature of the $A_3$ field is revealed: there is a full one-parametric family of enlarged superspace groups that solve the problem of expressing $A_3$ in terms of spacetime fields associated to their coordinates. The corresponding enlarged supersymmetry algebras turn out to be deformations of an {\it expansion} of the $osp(1|32)$ algebra. The unifying mathematical structure underlying all these facts is the cohomology of the supersymmetry algebras involved.

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