On the embedding of spacetime symmetries into simple superalgebras

Authors
D'Auria, R Ferrara, S Lledo, MA
Citation
R. D'Auria et al., On the embedding of spacetime symmetries into simple superalgebras, LETT MATH P, 57(2), 2001, pp. 123-133
Citations number
30
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
57
Issue
2
Year of publication
2001
Pages
123 - 133
Database
ISI
SICI code
0377-9017(200108)57:2<123:OTEOSS>2.0.ZU;2-Q
Abstract
We explore the embedding of Spin groups of arbitrary dimension and signatur e into simple superalgebras in the case of extended supersymmetry. The R-sy mmetry, 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 greater than or equal to 3. An so(1,1) grading of the superalgebra is found in all cases. Central extensions of super translation algebras are s tudied within this framework.