Quantum Gravity and String Theory


Polyvector Super-Poincare Algebras, M, F Theory Algebras and Generalized Supersymmetry in Clifford-Spaces

Authors: Carlos Castro

Starting with a review of the Extended Relativity Theory in Clifford-Spaces, and the physical motivation behind this novel theory, we provide the generalization of the nonrelativistic Supersymmetric pointparticle action in Clifford-space backgrounds. The relativistic Supersymmetric Clifford particle action is constructed that is invariant under generalized supersymmetric transformations of the Clifford-space background's polyvector-valued coordinates. To finalize, the Polyvector Super-Poincare and M, F theory superalgebras, in D = 11, 12 dimensions, respectively, are discussed followed by our final analysis of the novel Clifford-Superspace realizations of generalized Supersymmetries in Clifford spaces.

Comments: 17 pages, This article appeared in the Int. Journal of Mod. Phys. A 21, no.10 (2005) 2149.

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[v1] 1 Sep 2009

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