\(N=2\) structures on solvable Lie algebras: The \(c=9\) classification

DOI10.1007/BF02102433zbMath0864.17007arXivhep-th/9412008OpenAlexW3103606834MaRDI QIDQ1918090

José M. Figueroa-O'Farrill

Publication date: 18 June 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9412008

zbMATH Keywords

solvable Lie algebrasKähler structuresManin triplesSugawara constructionquasi-triangular Lie bialgebraself-dual Lie algebracosolvable three-dimensional complex Lie bialgebrasthree-dimensional solvable complex Lie algebra

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Solvable, nilpotent (super)algebras (17B30)

Related Items (11)

On the structure of symmetric self-dual Lie algebras ⋮ Three point functions in the large \( \mathcal{N}=4 \) holography ⋮ Perturbed Wess-Zumino-Witten models and N=(2,2) supersymmetric sigma models on Lie groups with complex structure ⋮ Carroll stories ⋮ Supersymmetric Kundt four manifolds and their spinorial evolution flows ⋮ The shadow formalism of Galilean \(\mathrm{CFT}_2\) ⋮ Some useful operators on differential forms on Galilean and Carrollian spacetimes ⋮ Generalized Galilean geometries ⋮ Classification of three-dimensional Lie bialgebras ⋮ Classification of four-dimensional real Lie bialgebras of symplectic type and their Poisson-Lie groups ⋮ Non-reductive WZW models and their CFTs. II: \(N=1\) and \(N=2\) cosets

Cites Work

• Superconformal current algebras and their unitary representations
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• Loop algebras and superalgebras based on S 7
• Invariants of real low dimension Lie algebras
• Wess-Zumino-Witten model based on a nonsemisimple group
• Symplectic Homogeneous Spaces

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