Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)

Abstract

We give the classification of the positive energy (lowest weight) unitary irreducible representations of the superalgebras osp(1|2n,R).

arXiv comment20 pages, LATEX2e (revtex4,amsmath,amssymb), Plenary talk by VKD at X International Conference on Symmetry Methods in Physics, Yerevan, 13-21.8.2003; added acknowledgements; corrected misprints

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Cited by in corpus (11)

• Higher Spin Symmetry and N=4 SYM
• Longitudinal Polarized Parton Densities Updated
• Invariant Differential Operators for Non-Compact Lie Groups: Parabolic Subalgebras
• Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps
• The paraboson Fock space and unitary irreducible representations of the Lie superalgebra osp(1|2n)
• Group-Theoretical Classification of BPS and Possibly Protected States in D=4 Conformal Supersymmetry
• Representations of the Lie Superalgebra $\mathfrak{osp}(1|2n)$ with Polynomial Bases
• Role of the orthogonal group in construction of osp(1|2n) representations
• Group-Theoretical Classification of BPS States in D=4 Conformal Supersymmetry: the Case of (1/N)-BPS
• Explicit Character Formulae for Positive Energy UIRs of D=4 Conformal Supersymmetry
• Bases for infinite dimensional simple $\mathfrak{osp}(1|2n)$-modules respecting the branching $\mathfrak{osp}(1|2n)\supset \mathfrak{gl}(n)$