Linearizing Generalized Kahler Geometry

Details Linearizing Generalized Kahler Geometry Linearizing Generalized Kahler Geometry

2007-02-16

arxiv.org/abs/hep-th/0702126v2

JHEP 0704:061,2007

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, some geometrical aspects clarified, typos corrected

Scientific paper

10.1088/1126-6708/2007/04/061

The geometry of the target space of an N=(2,2) supersymmetry sigma-model carries a generalized Kahler structure. There always exists a real function, the generalized Kahler potential K, that encodes all the relevant local differential geometry data: the metric, the B-field, etc. Generically this data is given by nonlinear functions of the second derivatives of K. We show that, at least locally, the nonlinearity on any generalized Kahler manifold can be explained as arising from a quotient of a space without this nonlinearity.

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