Unitary supermultiplets of OSp\((1/32,\mathbb{R})\) and M-theory

DOI10.1016/S0550-3213(98)00393-9zbMath0951.81082arXivhep-th/9803138MaRDI QIDQ1570563

Murat Gunaydin

Publication date: 11 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9803138

zbMATH Keywords

unitary representationsnon-compact supergroupsnon-compact groupsoscillation constructionunitary supermultiplets

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie (super)algebras to physics, etc. (17B81) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (15)

Higher-rank fields and currents ⋮ Supersymmetric spin networks ⋮ Formal higher-spin theories and Kontsevich-Shoikhet-Tsygan formality ⋮ Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories ⋮ BPS preons and the AdS-M-algebra ⋮ Dynamics and BPS states of \(\mathrm{AdS}_{5}\) supergravity with a Gauss-Bonnet term ⋮ On conformal, \(\text{SL}(4,\mathbb R)\) and \(\text{Sp}(8,\mathbb R)\) symmetries of massless fields ⋮ Unitary supermultiplets of \(\text{OSp}(8^*|4)\) and the \(\text{AdS}_7/\text{CFT}_6\) duality ⋮ CONSIDERATIONS ON SUPER POINCARÉ ALGEBRAS AND THEIR EXTENSIONS TO SIMPLE SUPERALGEBRAS ⋮ Spinor algebras ⋮ Supercoherent states of OSp\((8^*|2N)\), conformal superfields and the AdS\(_7\)/CFT\(_6\) duality ⋮ Unified non-metric (1, 0) tensor-Einstein supergravity theories and (4, 0) supergravity in six dimensions ⋮ Orbifolds of \(\text{AdS}_ 5\times S^ 5\) and 4d conformal field theories. ⋮ Correlation functions in the \(\text{CFT}_d/\text{AdS}_{d+1}\) correspondence ⋮ Gravitationally dressed RG flows and zigzag-invariant strings

Cites Work

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• \(2+1\)-dimensional gravity as an exactly soluble system
• Eleven-dimensional supergravity on a manifold with boundary
• Representations of Semisimple Lie Groups, V
• Unitary highest weight representations of noncompact supergroups
• Unitary lowest weight representations of the noncompact supergroup OSp(2m*/2n)
• Unitary lowest weight representations of the noncompact supergroup OSp(2n/2m,R)
• The world as a hologram
• A Remarkable Representation of the 3 + 2 de Sitter Group
• Positive energy unitary supermultiplets of extended anti-de Sitter and conformal superalgebras

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