Generalized N=(2,2) Supersymmetric Non-Linear Sigma Models

Abstract

We rewrite the N=(2,2) non-linear sigma model using auxiliary spinorial superfields defining the model on $\mathcal{T}{\oplus }^{\ast }\mathcal{T}$, where $\mathcal{T}$ is the tangent bundle of the target space. This is motivated by possible connections to Hitchin's generalized complex structures. We find the general form of the second supersymmetry compatible with that of the original model.

13 pages, Latex Minor corrections to agree with published version

References in corpus (10)

• Superstrings with Intrinsic Torsion
• N=1 supersymmetric sigma model with boundaries, II
• N=2 Boundary conditions for non-linear sigma models and Landau-Ginzburg models
• N=1 supersymmetric sigma model with boundaries, I
• Poisson geometry of sigma models with extended supersymmetry
• D-branes in N=2 WZW models
• Supersymmetric non-linear sigma-models with boundaries revisited
• N=1 Worldsheet Boundary Couplings and Covariance of non-Abelian Worldvolume Theory
• Superconformal boundary conditions for the WZW model
• Supersymmetric Boundary Conditions for the N=2 Sigma Model

Cited by in corpus (47)

• Generalised Geometry for M-Theory
• Supergravity as Generalised Geometry I: Type II Theories
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• Generalized complex manifolds and supersymmetry
• Generalized Kahler manifolds and off-shell supersymmetry
• Topological sigma-models with H-flux and twisted generalized complex manifolds
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• The Hitchin functionals and the topological B-model at one loop
• Hamiltonian perspective on generalized complex structure
• Generalized complex geometry, generalized branes and the Hitchin sigma model
• Non-geometric Backgrounds and the First Order String Sigma Model
• A sigma model field theoretic realization of Hitchin's generalized complex geometry
• Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
• On First Order Formalism in String Theory
• Uniqueness Theorem for Generalized Maxwell Electric and Magnetic Black Holes in Higher Dimensions
• 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
• Generalized complex geometry and the Poisson Sigma Model
• A topological sigma model of biKaehler geometry
• 2D N=(4,4) superspace supergravity and bi-projective superfields
• Generalized Hyperkaehler Geometry and Supersymmetry
• First-order supersymmetric sigma models and target space geometry
• New N = (2, 2) vector multiplets
• Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures
• Supersymmetric WZ-Poisson sigma model and twisted generalized complex geometry
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Generalized complex geometry and supersymmetric non-linear sigma models
• Black hole entropy and topological strings on generalized CY manifolds
• 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
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• The Large Vector Multiplet Action
• Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
• Topological A-Type Models with Flux
• Topological G${}_2$ and Spin(7) strings at 1-loop from double complexes
• Semichiral Sigma Models with 4D Hyperkaehler Geometry
• An Alternative Topological Field Theory of Generalized Complex Geometry
• Magnetic Backgrounds from Generalised Complex Manifolds
• Classical worldvolumes as generalised geodesics
• Higher curvature Bianchi identities, generalised geometry and $L_{\infty }$ algebras
• Sigma models with non-commuting complex structures and extended supersymmetry
• Three Dimensional Topological Field Theory induced from Generalized Complex Structure
• Tensionless Strings and Supersymmetric Sigma Models: Aspects of the Target Space Geometry
• Strings as sigma models and in the tensionless limit