## 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

**Download:** **PDF**

### Submission history

[v1] 21 Aug 2009

**Unique-IP document downloads:** 131 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*