Generalized Kahler geometry and gerbes

Abstract

We introduce and study the notion of a biholomorphic gerbe with connection. The biholomorphic gerbe provides a natural geometrical framework for generalized Kahler geometry in a manner analogous to the way a holomorphic line bundle is related to Kahler geometry. The relation between the gerbe and the generalized Kahler potential is discussed.

28 pages

References in corpus (12)

• Instantons, Poisson structures and generalized Kaehler geometry
• WZW branes and gerbes
• Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
• Generalized Kahler manifolds and off-shell supersymmetry
• Complex Structures, Duality, and WZW-Models in Extended Superspace
• Unoriented WZW Models and Holonomy of Bundle Gerbes
• Off-Shell Formulation of N=2 Non-Linear Sigma-Models
• Abelian and non-Abelian branes in WZW models and gerbes
• Gerbes, M5-Brane Anomalies and E_8 Gauge Theory
• Poisson geometry of sigma models with extended supersymmetry
• Linearizing Generalized Kahler Geometry
• Topological Sigma Models with H-Flux

Cited by in corpus (12)

• Global aspects of double geometry
• The generalized Kaehler geometry of N=(2,2) WZW-models
• Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures
• Generalized Calabi-Yau metric and Generalized Monge-Ampere equation
• Covariantly constant forms on torsionful geometries from world-sheet and spacetime perspectives
• Generalized Kähler Geometry in (2,1) superspace
• T-Duality in $(2,1)$ Superspace
• Generalized Kahler structures on group manifolds and T-duality
• $\beta \gamma$-systems interacting with sigma-models
• Generalized Kähler Geometry and current algebras in $SU(2)\times U(1)$ N=2 superconformal WZW model
• Generalized K$\ddot{a}$hler Geometry and current algebras in classical N=2 superconformal WZW model
• Towards a T-dual Emergent Gravity