Generalized complex geometry and the Poisson Sigma Model

Abstract

The supersymmetric Poisson Sigma model is studied as a possible worldsheet realization of generalized complex geometry. Generalized complex structures alone do not guarantee non-manifest N=(2,1) or N=(2,2) supersymmetry, but a certain relation among the different Poisson structures is needed. Moreover, important relations of an additional almost complex structure are found, which have no immediate interpretation in terms of generalized complex structures.

13 pages, LaTeX. v2: references added, typos, v3: more typos, references updated, final version

References in corpus (2)

• Generalized complex geometry
• Topological sigma-models with H-flux and twisted generalized complex manifolds

Cited by in corpus (22)

• Generalized complex geometry, generalized branes and the Hitchin sigma model
• Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
• Dirac Sigma Models
• A-branes and Noncommutative Geometry
• Generalized Kahler Geometry from supersymmetric sigma models
• T-duality and Generalized Kahler Geometry
• Generalized Hyperkaehler Geometry and Supersymmetry
• First-order supersymmetric sigma models and target space geometry
• New N = (2, 2) vector multiplets
• Supersymmetric WZ-Poisson sigma model and twisted generalized complex geometry
• Twistor spaces of generalized complex structures
• Generalised HyperKaehler Manifolds in String Theory
• A brief review of supersymmetric non-linear sigma models and generalized complex geometry
• T-duality and Generalized Complex Geometry
• An Alternative Topological Field Theory of Generalized Complex Geometry
• Open String BRST Cohomology for Generalized Complex Branes
• Wolfgang Kummer and the Vienna School of Dilaton (Super-)Gravity
• Three Dimensional Topological Field Theory induced from Generalized Complex Structure
• Reduction of coupling constants in two-dimensional sigma models
• Tensionless Strings and Supersymmetric Sigma Models: Aspects of the Target Space Geometry
• Poisson sigma models on surfaces with boundary: classical and quantum aspects
• Strings as sigma models and in the tensionless limit