The generalized Kaehler geometry of N=(2,2) WZW-models

Details The generalized Kaehler geometry of N=(2,2) WZW-models The generalized Kaehler geometry of N=(2,2) WZW-models

2011-11-02

arxiv.org/abs/1111.0551v2

JHEP 1112 (2011) 079

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 51 pages, Typo's corrected, discussion on superconformal vs. generalized Calabi-Yau fine tuned

Scientific paper

10.1007/JHEP12(2011)079

N=(2,2), d=2 supersymmetric non-linear sigma-models provide a physical realization of Hitchin's and Gualtieri's generalized Kaehler geometry. A large subclass of such models are comprised by WZW-models on even-dimensional reductive group manifolds. In the present paper we analyze the complex structures, type changing, the superfield content and the affine isometries compatible with the extra supersymmetry. The results are illustrated by an exhaustive discussion of the N=(2,2) WZW-models on S3xS1 and S3xS3 where various aspects of generalized Kaehler and Calabi-Yau geometry are verified and clarified. The examples illustrate a slightly weaker definition for an N=(2,2) superconformal generalized Kaehler geometry compared to that for a generalized Calabi-Yau geometry.

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