Unitary lowest weight representations of the noncompact supergroup OSp(2n/2m,R)

DOI10.1063/1.528120zbMath0681.22018OpenAlexW1600422946MaRDI QIDQ4729997

Soon J. Hyun, Murat Gunaydin

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528120

zbMATH Keywords

unitary lowest weight representationseven subgrouposcillator constructionGelfand-Zetlin and Dynkin labelsnoncompact supergroup

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Graded Lie (super)algebras (17B70) Lie algebras of linear algebraic groups (17B45)

Related Items (15)

Higher-rank conformal fields in the \(\mathrm{Sp}(2M)\)-symmetric generalized space-time ⋮ Unitary lowest weight representations of the noncompact supergroup OSp(2m*/2n) ⋮ Two-loop spectroscopy of short ABJM operators ⋮ Noncritical \(\text{osp}(1| 2, \mathbb R)\) \(\mathcal M\)-theory matrix model with an arbitrary time-dependent cosmological constant ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ The complete unitary dual of non-compact Lie superalgebra \(\mathfrak{su}(p,q|m)\) via the generalised oscillator formalism, and non-compact Young diagrams ⋮ Minimal unitary representation of \(SO^{*}(8)=SO(6,2)\) and its \(SU(2)\) deformations as massless 6D conformal fields and their supersymmetric extensions ⋮ \(SU(2)\) deformations of the minimal unitary representation of \(OSp(8^{*}|2N)\) as massless 6D conformal supermultiplets ⋮ Conformally coupled supermultiplets in four and five dimensions ⋮ Classification of irreducible super-unitary representations of \({\mathfrak su}(p,q/n)\) ⋮ Deformed twistors and higher spin conformal (super-)algebras in four dimensions ⋮ Representations of superconformal algebras in the AdS7/4/CFT6/3 correspondence ⋮ Unitary supermultiplets of OSp\((1/32,\mathbb{R})\) and M-theory ⋮ Superconformal symmetry and maximal supergravity in various dimensions ⋮ Massless conformal fields, \(\mathrm{AdS}_{(d+1)}/\mathrm{CFT}_{d}\) higher spin algebras and their deformations

Cites Work

• Multiplet shortening in \(\mathrm{Osp}(N,4)\)
• Unitary representations of noncompact supergroups
• Representations of Semisimple Lie Groups, V
• Unitary highest weight representations of noncompact supergroups
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Supergravity in theory in 11 dimensions
• A Remarkable Representation of the 3 + 2 de Sitter Group
• Lie superalgebras

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