Linearizing Generalized Kahler Geometry

Abstract

The geometry of the target space of an N=(2,2) supersymmetry sigma-model carries a generalized Kahler structure. There always exists a real function, the generalized Kahler potential K, that encodes all the relevant local differential geometry data: the metric, the B-field, etc. Generically this data is given by nonlinear functions of the second derivatives of K. We show that, at least locally, the nonlinearity on any generalized Kahler manifold can be explained as arising from a quotient of a space without this nonlinearity.

31 pages, some geometrical aspects clarified, typos corrected

References in corpus (9)

• Duality, Quotients, and Currents
• Instantons, Poisson structures and generalized Kaehler geometry
• Generalized Kahler manifolds and off-shell supersymmetry
• Off-Shell Formulation of N=2 Non-Linear Sigma-Models
• Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
• Poisson geometry of sigma models with extended supersymmetry
• Generalized Kahler Geometry from supersymmetric sigma models
• New N=4 Superfields and Sigma-models
• The Quantum Geometry of N=(2,2) Non-Linear Sigma-Models

Cited by in corpus (15)

• Lectures on Generalized Complex Geometry for Physicists
• T-duality and Generalized Kahler Geometry
• Pseudo-hyperkahler Geometry and Generalized Kahler Geometry
• New N = (2, 2) vector multiplets
• Generalized Kahler geometry and gerbes
• Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures
• Generalized Calabi-Yau metric and Generalized Monge-Ampere equation
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• Generalized Kahler geometry, gerbes, and all that
• Generalized CoKähler Geometry and an Application to Generalized Kähler Structures
• Topological A-Type Models with Flux
• The Generalised Complex Geometry of $(p,q)$ Hermitian Geometries
• An Alternative Topological Field Theory of Generalized Complex Geometry
• $\beta \gamma$-systems interacting with sigma-models
• Doubled space and extended supersymmetry