On the embedding of space-time symmetries into simple superalgebras

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URI: http://hdl.handle.net/10550/33418
DOI: 10.1023/A:1017950711091
URL: 10.1023/A:1017950711091
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2001
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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 ≥ 3. An so(1,1) grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied within this framework.
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Àlgebra
Lie, Grups de
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D'Auria, R. Ferrara, S. Lledó Barrena, María Antonia 2001 On the embedding of space-time symmetries into simple superalgebras Letters in Mathematical Physics 57 2 123 133
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http://hdl.handle.net/10550/33418
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