Generalized Kähler Geometry and current algebras in SU(2) × U(1) N = 2 superconformal WZW model

DOI10.1142/S0217732317500766zbMath1365.81096arXiv1701.05229MaRDI QIDQ5273363

Sergei E. Parkhomenko

Publication date: 6 July 2017

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05229

zbMATH Keywords

Kac-Moody algebrasstring theoryextended supersymmetric conformal field theories

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

• Unnamed Item
• Superconformal structures on generalized Calabi-Yau metric manifolds
• Generalized complex geometry
• Off-shell formulation of \(N=2\) nonlinear \(\sigma\)-models
• Hamiltonian perspective on generalized complex structure
• Generalized Kähler geometry from supersymmetric sigma models
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Symplectic structures associated to Lie-Poisson groups
• Poisson-Lie \(T\)-duality and complex geometry in \(N=2\) superconformal WZNW models
• Generalized Calabi-Yau manifolds and the chiral de Rham complex
• QUASI FROBENIUS LIE ALGEBRAS CONSTRUCTION OF N=4 SUPERCONFORMAL FIELD THEORIES
• Dressing transformations and Poisson group actions

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