Euclidean Supersymmetry, Twisting and Topological Sigma Models

Details Euclidean Supersymmetry, Twisting and Topological Sigma Models Euclidean Supersymmetry, Twisting and Topological Sigma Models

2008-05-21

arxiv.org/abs/0805.3321v1

JHEP0806:031,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1088/1126-6708/2008/06/031

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.

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