Generalized complex manifolds and supersymmetry

Abstract

We find a worldsheet realization of generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. The two-dimensional model we construct is a supersymmetric relative of the Poisson sigma model used in context of deformation quantization.

Latex, 25 pages, refs added and typos corrected, the version to appear in CMP

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Cited by in corpus (59)

• Flux compactifications in string theory: a comprehensive review
• Generalised Geometry for M-Theory
• Generalized structures of N=1 vacua
• Supergravity as Generalised Geometry I: Type II Theories
• Lectures on Generalized Complex Geometry for Physicists
• Lectures on Nongeometric Flux Compactifications
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• Generalized Kahler manifolds and off-shell supersymmetry
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• D-branes in Nongeometric Backgrounds
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Hamiltonian perspective on generalized complex structure
• Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
• Dirac Sigma Models
• Reduction of Generalized Complex Structures
• Generalized Kaehler Potentials from Supergravity
• Supersymmetric Backgrounds and Generalised Special Holonomy
• Generalized Kahler Geometry from supersymmetric sigma models
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• T-duality and Generalized Kahler Geometry
• The biHermitian topological sigma model
• 2D N=(4,4) superspace supergravity and bi-projective superfields
• A topological sigma model of biKaehler geometry
• Generalized Hyperkaehler Geometry and Supersymmetry
• New N = (2, 2) vector multiplets
• First-order supersymmetric sigma models and target space geometry
• No-scale supersymmetry breaking vacua and soft terms with torsion
• T-duality, quotients and generalized Kahler geometry
• The Hitchin Model, Poisson-quasi-Nijenhuis Geometry and Symmetry Reduction
• Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures
• On T-folds, G-structures and Supersymmetry
• Gauging the Poisson sigma model
• Brackets, Sigma Models and Integrability of Generalized Complex Structures
• Generalized Calabi-Yau manifolds and the chiral de Rham complex
• Supersymmetric WZ-Poisson sigma model and twisted generalized complex geometry
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Flux Vacua and Supermanifolds
• Geometric Transitions on non-Kaehler Manifolds
• Tachyon condensation and D-branes in generalized geometries
• Black hole entropy and topological strings on generalized CY manifolds
• Generalised HyperKaehler Manifolds in String Theory
• BiHermitian Supersymmetric Quantum Mechanics
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• T-duality and Generalized Complex Geometry
• Superconformal structures on generalized Calabi-Yau metric manifolds
• Generalized CoKähler Geometry and an Application to Generalized Kähler Structures
• Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
• Gauged (2,2) Sigma Models and Generalized Kahler Geometry
• Topological A-Type Models with Flux
• Special holonomy sigma models with boundaries
• An Alternative Topological Field Theory of Generalized Complex Geometry
• Higher curvature Bianchi identities, generalised geometry and $L_{\infty }$ algebras
• Complex Dirac structures: invariants and local structure
• Reduction and construction of Poisson quasi-Nijenhuis manifolds with background
• On M-theory on Real Toric Fibrations
• Three Dimensional Topological Field Theory induced from Generalized Complex Structure
• Odd type generalized complex structures on 4-manifolds
• Supersymmetric Poisson and Poisson-supersymmetric sigma models
• Doubled space and extended supersymmetry