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

DOI10.1063/1.529401zbMath0741.22016OpenAlexW4235351282MaRDI QIDQ3981618

R. J. Scalise, Murat Gunaydin

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529401

zbMATH Keywords

irreducible representationssupersymmetryoscillator representationLie supergroupunitary lowest weight representationsdecomposition rulesnoncompact supergroupsnoncompact Lie superalgebras

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Superalgebras (17A70)

Related Items (19)

Oscillator construction of spectra of pp-wave superalgebras in eleven dimensions ⋮ Gauge symmetry and Howe duality in 4D conformal field theory models ⋮ Bootstrap equations for \( \mathcal{N} = 4\) SYM with defects ⋮ The complete unitary dual of non-compact Lie superalgebra \(\mathfrak{su}(p,q|m)\) via the generalised oscillator formalism, and non-compact Young diagrams ⋮ Bootstrapping string dynamics in the 6d \(\mathcal{N} = (2, 0)\) theories ⋮ Bootstrapping line defects in \(\mathcal{N} = 2\) theories ⋮ Integrated correlators from integrability: Maldacena-Wilson line in \(\mathcal{N} = 4\) SYM ⋮ Super-spin chains for 6D SCFTs ⋮ 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 ⋮ The spectrum of excitations of holographic Wilson loops ⋮ Unitary supermultiplets of \(\text{OSp}(8^*|4)\) and the \(\text{AdS}_7/\text{CFT}_6\) duality ⋮ Constructing \(\mathcal{N} = 4\) Coulomb branch superamplitudes ⋮ Supercoherent states of OSp\((8^*|2N)\), conformal superfields and the AdS\(_7\)/CFT\(_6\) duality ⋮ Super-\(W_\infty\) asymptotic symmetry of higher-spin AdS\(_3\) supergravity ⋮ INFINITE DIMENSIONAL LIE ALGEBRAS IN 4D CONFORMAL FIELD THEORY ⋮ Unitary supermultiplets of OSp\((1/32,\mathbb{R})\) and M-theory ⋮ Bootstrability in defect CFT: integrated correlators and sharper bounds ⋮ Superconformal symmetry and maximal supergravity in various dimensions

Cites Work

• Multiplet shortening in \(\mathrm{Osp}(N,4)\)
• Unitary representations of noncompact supergroups
• Unitary highest weight representations of noncompact supergroups
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Unitary lowest weight representations of the noncompact supergroup OSp(2n/2m,R)
• Supergravity in theory in 11 dimensions
• Lie superalgebras

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