Representations of N=2 extended supergravity and unitarity conditions in Osp (N,4)

DOI10.1063/1.527614zbMath0643.17012OpenAlexW2107846498MaRDI QIDQ3785013

Joris Van der Jeugt

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527614

zbMATH Keywords

supergravityirreducible representationslabelsatypical infinite-dimensional representationsLie superalgebra Osp(2,4)multiple shortening

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Supergravity (83E50) Graded Lie (super)algebras (17B70)

Related Items (6)

Classification of star and grade-star representations of C(n+1) ⋮ Classification of all star and grade star irreps of gl(n‖1) ⋮ Classification of irreducible super-unitary representations of \({\mathfrak su}(p,q/n)\) ⋮ Classification of all star irreps of gl(m‖n) ⋮ Classification of infinite dimensional irreducible modules for type I Lie superalgebras ⋮ On the Super-Unitarity of Discrete Series Representations of Orthosymplectic Lie Superalgebras

Cites Work

• Multiplet shortening in \(\mathrm{Osp}(N,4)\)
• Representations of low-rank orthosymplectic superalgebras by superfield techniques
• Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2)
• Multiplet structure and spectra of N=2 supersymmetric compactifications
• Irreducible representations of the exceptional Lie superalgebras D(2,1;α)
• Representations of Osp(2, 1) and the metaplectic representation
• Infinite-dimensional representations of the graded Lie algebra (Sp(4):4). Representation of the para-Bose operators with real order of quantization
• Discrete Series for the Universal Covering Group of the 3 + 2 de Sitter Group
• Lie superalgebras

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