Seven-sphere and the exceptional \(N=7\) and \(N=8\) superconformal algebras

DOI10.1016/0550-3213(96)00088-0zbMath1002.81507arXivhep-th/9601072OpenAlexW3100090171MaRDI QIDQ1911380

Sergei V. Ketov, Murat Gunaydin

Publication date: 24 April 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9601072

zbMATH Keywords

conformal field theorycentral chargesdivision algebrageneral coset ansätze

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of global differential geometry to the sciences (53C80)

Related Items

ON OCTONIONIC GRAVITY, EXCEPTIONAL JORDAN STRINGS AND NONASSOCIATIVE TERNARY GAUGE FIELD THEORIES ⋮ Real forms of nonlinear superconformal and quasi-superconformal algebras and their unified realization ⋮ Non-associativity in the Clifford bundle on the parallelizable torsion 7-sphere ⋮ An \(\mathcal N=1\) superfield action for M2 branes ⋮ Quantum vacua of 2d maximally supersymmetric Yang-Mills theory ⋮ Seven sphere and the exceptional nonlinear superconformal algebras ⋮ OCTONIONIC REALIZATIONS OF ONE-DIMENSIONAL EXTENDED SUPERSYMMETRIES: A CLASSIFICATION ⋮ Vacua and RG flows in \(N = 9\) three dimensional gauged supergravity ⋮ An \(N=8\) superaffine Malcev algebra and its \(N=8\) Sugawara ⋮ M-theory cosmology, octonions, error correcting codes ⋮ On the Octonionic Superconformal M-Algebra ⋮ Hamiltonian reduction of supersymmetric WZNW models on bosonic groups and superstrings ⋮ Wrapped Branes as Qubits ⋮ LIE 3-ALGEBRA AND SUPER-AFFINIZATION OF SPLIT-OCTONIONS ⋮ A NONASSOCIATIVE QUATERNION SCALAR FIELD THEORY

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-Abelian bosonization in two dimensions
• Infinite dimensional Lie algebras. An introduction
• Self-dual Yang--Mills fields in \(d=7, 8\), octonions and Ward equations
• \(S^ 7\) and \({\widehat {S^ 7}}\)
• The structure of \(N=16\) supergravity in two dimensions
• Quantum version of the \(N=8\) superconformal algebra
• Superstrings and manifolds of exceptional holonomy
• THE BRST CHARGE FOR THE $\hat D (2, 1; \alpha)$ NONLINEAR QUASI-SUPERCONFORMAL ALGEBRA
• Realisations of N=4 superconformal algebras on Wolf spaces
• Superconformal algebras and Clifford algebras
• Loop algebras and superalgebras based on S 7
• Classification of all simple graded Lie algebras whose Lie algebra is reductive. I
• Quark structure and octonions
• Simple supersymmetries
• Octonionic superstring solitons
• Results of the classification of superconformal algebras in two dimensions