Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models

Details Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models

2004-11-21

arxiv.org/abs/hep-th/0411186v2

JHEP0507:067,2005

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 2 figures, Journal Version

Scientific paper

10.1088/1126-6708/2005/07/067

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.

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