On the Embedding of Space-Time Symmetries into Simple Superalgebras

Abstract

We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is not compact, can be chosen compact for all the cases that are congruent mod 8 to the physical conformal algebra so($D-2$,2), $D\ge 3$. An $\mathrm{so}(1,1)$ grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied in this framework.

arXiv commentAMS LaTeX, 16 pages

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Cited by in corpus (8)

• Quaternionic and Octonionic Spinors. A Classification
• U*(1,1) Noncommutative Gauge Theory As The Foundation of 2T-Physics in Field Theory
• 2T-Physics 2001
• Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of the M-theory. A classification
• Gauge gravitation theory from the geometric viewpoint
• Mathematical models of spontaneous symmetry breaking
• Reduction of principal superbundles, Higgs superfields, and supermetric
• Positive Energy Unitary Irreducible Representations of the Superalgebra osp(1|8,R)