6533b85dfe1ef96bd12bea01

RESEARCH PRODUCT

On the Embedding of Space-Time Symmetries into Simple Superalgebras

Riccardo D'auriaSergio FerraraMaría Antonia Lledó Barrena

subject

High Energy Physics - TheoryHigh Energy Physics - Theory (hep-th)FOS: Physical sciencesÀlgebraLie Grups deParticle Physics - Theory

description

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), $D\geq 3$. An $\rm{so}(1,1)$ grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied in this framework.

10.1023/a:1017950711091http://cds.cern.ch/record/487026