Classical and quantum extended superconformal algebra.

DOI10.1016/0550-3213(91)90296-AzbMath1098.81786OpenAlexW2079726043MaRDI QIDQ851063

Hiroshi Nohara, Kenji Mohri, Shiro Komata

Publication date: 10 November 2006

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

Full work available at URL: https://doi.org/10.1016/0550-3213(91)90296-a

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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)

Related Items (17)

Dirac reductions and classical W-algebras ⋮ \(N=2\) super KdV and super sine-Gordon equations based on Lie super algebra \(A(1,1)^{(1)}\). ⋮ A geometrical approach to super \(W\)-induced gravities in two dimensions ⋮ Generators of supersymmetric classical \(W\)-algebras ⋮ On the supersymmetric BKP hierarchy. ⋮ Classical \(N =1\) \(W\)-superalgebras from Hamiltonian reduction ⋮ Extended superconformal algebra as symmetry of super Toda field theory ⋮ Generalized \(N=2\) supersymmetric Toda field theories ⋮ Super-Toda theories and W-algebras from superspace Wess-Zumino-Witten models ⋮ Unitary representations of SW(3/2,2) superconformal algebra ⋮ NONSTANDARD MATRIX FORMATS OF LIE SUPERALGEBRAS ⋮ Super-\(W_\infty\) asymptotic symmetry of higher-spin AdS\(_3\) supergravity ⋮ Conical defects and \( \mathcal{N}=2 \) higher spin holography ⋮ Free field realization of \(N=2\) super-\(W_ 3\) algebra ⋮ \({\mathcal W}\)-algebras, new rational models and completeness of the \(c=1\) classification ⋮ ODE/IM correspondence and supersymmetric affine Toda field equations ⋮ R-matrix formulation of affine Yangian of \(\widehat{\mathfrak{gl}}(1|1)\)

Cites Work

• Lie algebras and equations of Korteweg-de Vries type
• Integrable graded manifolds and nonlinear equations
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Structure of basic Lie superalgebras and of their affine extensions
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• Casimir invariants and characteristic identities for generators of the general linear, special linear and orthosymplectic graded Lie algebras

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