First-order supersymmetric sigma models and target space geometry

Abstract

We study the conditions under which N=(1,1) generalized sigma models support an extension to N=(2,2). The enhanced supersymmetry is related to the target space complex geometry. Concentrating on a simple situation, related to Poisson sigma models, we develop a language that may help us analyze more complicated models in the future. In particular, we uncover a geometrical framework which contains generalized complex geometry as a special case.

1+19 pages, JHEP style, published version

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Cited by in corpus (18)

• Generalized Kahler Geometry from supersymmetric sigma models
• NS-NS fluxes in Hitchin's generalized geometry
• Conifolds and Geometric Transitions
• T-duality and Generalized Kahler Geometry
• A topological sigma model of biKaehler geometry
• Generalized Hyperkaehler Geometry and Supersymmetry
• New N = (2, 2) vector multiplets
• Rotational Surfaces in ${\mathbb{L}}^3$ and Solutions in the Nonlinear Sigma Model
• Geometric Transitions on non-Kaehler Manifolds
• Generalised HyperKaehler Manifolds in String Theory
• A brief review of supersymmetric non-linear sigma models and generalized complex geometry
• The Large Vector Multiplet Action
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• T-duality and Generalized Complex Geometry
• Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
• Gauged (2,2) Sigma Models and Generalized Kahler Geometry
• A note on N=(2,2) superfields in two dimensions
• Strings as sigma models and in the tensionless limit