Euclidean Supersymmetry, Twisting and Topological Sigma Models

Abstract

We discuss two dimensional N-extended supersymmetry in Euclidean signature and its R-symmetry. For N=2, the R-symmetry is SO(2)\times SO(1,1), so that only an A-twist is possible. To formulate a B-twist, or to construct Euclidean N=2 models with H-flux so that the target geometry is generalised Kahler, it is necessary to work with a complexification of the sigma models. These issues are related to the obstructions to the existence of non-trivial twisted chiral superfields in Euclidean superspace.

8 pages

References in corpus (1)

• Generalized Kahler manifolds and off-shell supersymmetry

Cited by in corpus (2)

• Semichiral Fields on S^2 and Generalized Kähler Geometry
• Geometry of the N=2 supersymmetric sigma model with Euclidean worldsheet