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On the Embedding of Spacetime Symmetries into Simple Superalgebras

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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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Authors and Affiliations

  1. Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Turin, Italy

    R. D'Auria & M. A. Lledó

  2. INFN, Sezione di Torino, Italy

    R. D'Auria & M. A. Lledó

  3. Theory Division, CERN, CH 1211, Geneva 23, Switzerland

    S. Ferrara

  4. Laboratori Nazionali di Frascati, INFN, Italy

    S. Ferrara

Authors
  1. R. D'Auria
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  2. S. Ferrara
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  3. M. A. Lledó
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D'Auria, R., Ferrara, S. & Lledó, M.A. On the Embedding of Spacetime Symmetries into Simple Superalgebras. Letters in Mathematical Physics 57, 123–133 (2001). https://doi.org/10.1023/A:1017950711091

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