Real and holomorphic SuSy algebras |
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Authors: | R. A. Marques Pereira |
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Affiliation: | (1) Laboratoire Propre, LP-7061, Centre National de la Recherche Scientifique, Centre de Physique Théorique, (CNRS) Luminy, Case 907, F-13288 Marseille Cedex 09, France |
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Abstract: | We propose a new constructive scheme for real SuSy algebras within the general formalism of real Clifford algebra theory, and use it to characterize a natural holomorphic extension admitted by a subclass of real SuSy algebras in signaturess–t=3 mod 4. The resulting holomorphic SuSy algebras are the abstract models of a new type of supersymmetry algebras, already known to be relevant in the development of canonical or Hamiltonian methods in superspace.Research supported in part by CNPq-Brazil. |
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