Fock space representations
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چکیده
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Fock space representations Bernard Leclerc
منابع مشابه
Fock Representations
In this note we use Clifford algebras and their Fock representations to build representations of LU(N) and LSU(N). Let H be the Hilbert space of square-integrable sections of the trivial rank N complex vector bundle over S and P : H → H the projection onto the space spanned by non-negative Fourier modes. To this data we can associate the Fermionic Fock space FP . FP is a representation of level...
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We adress the problem of Fock space representations of (free) multiplet component fiels encountered in supersymmetric quantum field theory insisting on positivity and causality. We look in detail on the scalar and Majorana components of the chiral supersymmetric multiplet. Several Fock space representations are introduced. The last section contains a short application to the supersymmetric Epst...
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Given any representation of an arbitrary Lie algebra g over a field K of characteristic 0, we construct representations of a central extension of g on bosonic and fermionic Fock space. The method gives an explicit formula for a (sometimes trivial) 2-cocycle in H(g;K). We illustrate these techniques with several concrete examples. MSC: 17B10, 17B56, 17B65, 17B68.
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تاریخ انتشار 2017