GENERALIZED KAHLER GEOMETRY AND MANIFEST N=(2,2) SUPERSYMMETRIC NONLINEAR SIGMA-MODELS.

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Authors	LINDSTRÖM Ulf ROCEK Martin VON UNGE Rikard ZABZINE Maxime
Year of publication	2005
Type	Article in Periodical
Magazine / Source	Journal of High Energy Physics
MU Faculty or unit	Faculty of Science
Citation
Web	http://arxiv.org/abs/hep-th/0411186
Field	Elementary particles and high-energy physics
Keywords	supersymmetry; sigma models
Description	Generalized complex geometry is a new mathematical framework that is useful for describing the target space of N=(2,2) nonlinear sigma-models. The most direct relation is obtained at the N=(1,1) level when the sigma model is formulated with an additional auxiliary spinorial field. We revive a formulation in terms of N=(2,2) semi-(anti)chiral multiplets where such auxiliary fields are naturally present. The underlying generalized complex structures are shown to commute (unlike the corresponding ordinary complex structures) and describe a Generalized Kahler geometry. The metric, B-field and generalized complex structures are all determined in terms of a potential K.
Related projects:	Mathematical structures and their physical applications Non-comutative theory of field and projective superspace