Minimal unitary representation of 5\(d\) superconformal algebra \(\text{F}(4)\) and \(\text{AdS}_6 / \text{CFT}_5\) higher spin (super)-algebras

DOI10.1016/j.nuclphysb.2014.11.015zbMath1326.81175arXiv1409.2185OpenAlexW2197259852MaRDI QIDQ895420

Sudarshan Fernando, Murat Gunaydin

Publication date: 2 December 2015

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

Full work available at URL: https://arxiv.org/abs/1409.2185

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Superalgebras (17A70) Kaluza-Klein and other higher-dimensional theories (83E15) Formal methods and deformations in algebraic geometry (14D15)

Related Items (3)

Exceptional \(F(4)\) higher-spin theory in \(\mathrm{AdS}_{6}\) at one-loop and other tests of duality ⋮ Spinor-helicity formalism for massive and massless amplitudes in five dimensions ⋮ Massless conformal fields, \(\mathrm{AdS}_{(d+1)}/\mathrm{CFT}_{d}\) higher spin algebras and their deformations

Cites Work

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• Deformed twistors and higher spin conformal (super-)algebras in six dimensions
• 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 minimal unitary representation of \(E_{8(8)}\)
• Higher symmetries of the Laplacian
• The large \(N\) limit of superconformal field theories and supergravity
• The Cartan product
• Minimal realizations and spectrum generating algebras
• Comments on string dynamics in six dimensions
• F (4) supergravity and 5D superconformal field theories
• The minimal orbit in a simple Lie algebra and its associated maximal ideal
• Masslessness in n-Dimensions
• Minimal unitary representation of SU(2,2) and its deformations as massless conformal fields and their supersymmetric extensions
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• ON THE UNIQUENESS OF HIGHER-SPIN SYMMETRIES IN ADS AND CFT
• A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator
• Matter coupled \(F(4)\) supergravity and the \(\text{AdS}_6/\text{CFT}_5\) correspondence
• Unitary supermultiplets of \(\text{OSp}(8^*|4)\) and the \(\text{AdS}_7/\text{CFT}_6\) duality

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