## P-Branes as Antisymmetric Nonabelian Tensorial Gauge Field Theories of Diffeomorphisms in P + 1 Dimensions

**Authors:** Carlos Castro

Long ago, Bergshoeff, Sezgin, Tanni and Townsend have shown that the
light-cone gauge-fixed action of a super p-brane belongs to a new kind of supersymmetric
gauge theory of p-volume preserving diffeomorphisms (diffs) associated
with the p-spatial dimensions of the extended object. These authors
conjectured that this new kind of supersymmetric gauge theory must be related
to an infinite-dim nonabelian antisymmetric gauge theory. It is shown in
this work how this new theory should be part of an underlying antisymmetric
nonabelian tensorial gauge field theory of p+1-dimensional diffs (upon supersymmetrization)
associated with the world volume evolution of the p-brane. We
conclude by embedding the latter theory into a more fundamental one based on
the Clifford-space geometry of the p-brane configuration space.

**Comments:** 44 pages, This article has been submitted to the Journal of Mathematical Physics, Aug 2009

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### Submission history

[v1] 21 Aug 2009

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