The Geometry of Sigma-Models with Twisted Supersymmetry

Abstract

We investigate the relation between supersymmetry and geometry for two dimensional sigma models with target spaces of arbitrary signature, and Lorentzian or Euclidean world-sheets. In particular, we consider twisted forms of the two-dimensional $(p,q)$ supersymmetry algebra. Superspace formulations of the $(p,q)$ heterotic sigma-models with twisted or untwisted supersymmetry are given. For the twisted (2,1) and the pseudo-Kähler sigma models, we give extended superspace formulations.

25 pages, LaTeX, no figures

References in corpus (8)

• Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory
• Duality and the Signature of Space-Time
• Actions For (2,1) Sigma-Models and Strings
• The Quantum Geometry of N=(2,2) Non-Linear Sigma-Models
• M-branes and N=2 Strings
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• First-order supersymmetric sigma models and target space geometry
• Supersymmetric Nonlinear Sigma Models
• Making the hyper--Kähler structure of N=2 quantum string manifest
• Geometry of the N=2 supersymmetric sigma model with Euclidean worldsheet
• The geometry of N=4 twisted string
• Commuting Pairs, Generalized para-Kähler Geometry and Born Geometry
• Comments on Dualities on Group Manifolds and Supersymmetry
• Euclidean Supersymmetry, Twisting and Topological Sigma Models
• Sigma models with non-commuting complex structures and extended supersymmetry
• Linearizing extended nonlinear supersymmetry in two dimensional spacetime
• The complex world of superstrings: On semichiral sigma models