Generalized Kähler geometry and current algebras in classical N=2 superconformal WZW model

DOI10.1142/S0217751X18500653zbMath1387.81329arXiv1801.05184MaRDI QIDQ4637957

Sergei E. Parkhomenko

Publication date: 3 May 2018

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

Full work available at URL: https://arxiv.org/abs/1801.05184

zbMATH Keywords

conformal field theorysuperstring compactification

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (1)

Generalized Kähler geometry in Kazama-Suzuki coset models

Cites Work

• Generalized complex geometry
• Hamiltonian perspective on generalized complex structure
• Generalized Kähler geometry from supersymmetric sigma models
• Lagrangian approach to sheaves of vertex algebras
• 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
• Chiral de Rham complex
• The generalized Kähler geometry of \(N = (2, 2)\) WZW-models
• QUASI FROBENIUS LIE ALGEBRAS CONSTRUCTION OF N=4 SUPERCONFORMAL FIELD THEORIES
• Supersymmetry of the Chiral de Rham Complex 2: Commuting Sectors
• Dressing transformations and Poisson group actions
• Loop spaces, characteristic classes and geometric quantization

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