Generalized Kahler Geometry from supersymmetric sigma models

Abstract

We give a physical derivation of generalized Kahler geometry. Starting from a supersymmetric nonlinear sigma model, we rederive and explain the results of Gualtieri regarding the equivalence between generalized Kahler geometry and the bi-hermitean geometry of Gates-Hull-Rocek. When cast in the language of supersymmetric sigma models, this relation maps precisely to that between the Lagrangian and the Hamiltonian formalisms. We also discuss topological twist in this context.

18 pages

Cited by in corpus (26)

• Generalised Geometry for M-Theory
• Linearizing Generalized Kahler Geometry
• Courant-like brackets and loop spaces
• T-duality, quotients and generalized Kahler geometry
• Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures
• Generalized Calabi-Yau manifolds and the chiral de Rham complex
• Chiral de Rham complex on Riemannian manifolds and special holonomy
• Semichiral Fields on S^2 and Generalized Kähler Geometry
• Generalised HyperKaehler Manifolds in String Theory
• Lagrangian approach to sheaves of vertex algebras
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• T-duality and Generalized Complex Geometry
• Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
• Superconformal structures on generalized Calabi-Yau metric manifolds
• Gauged (2,2) Sigma Models and Generalized Kahler Geometry
• Topological A-Type Models with Flux
• The Generalised Complex Geometry of $(p,q)$ Hermitian Geometries
• An Alternative Topological Field Theory of Generalized Complex Geometry
• Invariant Generalized Complex Structures on Partial Flag Manifolds
• Invariant generalized complex geometry on maximal flag manifolds and their moduli
• Sheaves of N=2 supersymmetric vertex algebras on Poisson manifolds
• Generalized K$\ddot{a}$hler Geometry and current algebras in classical N=2 superconformal WZW model
• Generalized Kähler Geometry and current algebras in $SU(2)\times U(1)$ N=2 superconformal WZW model
• Invariant generalized almost complex structures on real flag manifolds
• Generalized K$\ddot{a}$hler Geometry in Kazama-Suzuki coset models
• Doubled space and extended supersymmetry