Generalized complex geometry and supersymmetric non-linear sigma models

Abstract

After an elementary presentation of the relation between supersymmetric nonlinear sigma models and geometry, I focus on 2D and the target space geometry allowed when there is an extra supersymmetry. This leads to a brief introduction to generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. Finally I present worldsheet realizations of this geometry,

Talk at Simons Workshop in Mathematics and Physics 2004, 11 pages 2 figures

References in corpus (4)

• Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
• Generalized N=(2,2) Supersymmetric Non-Linear Sigma Models
• N=2 Boundary conditions for non-linear sigma models and Landau-Ginzburg models
• D-branes in N=2 WZW models

Cited by in corpus (11)

• Generalised Geometry for M-Theory
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Generalized complex geometry, generalized branes and the Hitchin sigma model
• Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
• NS-NS fluxes in Hitchin's generalized geometry
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• A topological sigma model of biKaehler geometry
• The Hitchin Model, Poisson-quasi-Nijenhuis Geometry and Symmetry Reduction
• Gauging the Poisson sigma model
• Twistor spaces of generalized complex structures
• A Geometric Action for the Courant Bracket