Linearizing Generalized Kahler Geometry

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Authors

VON UNGE Rikard ZABZINE Maxim LINDSTRÖM Ulf ROCEK Martin

Year of publication 2007
Type Article in Periodical
Magazine / Source Journal of High Energy Physics
MU Faculty or unit

Faculty of Science

Citation
Web article
Field Theoretical physics
Keywords Generalized complex geometry; Sigma models; supersymmetry
Description 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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