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

Ulf Lindstrom·Martin Rocek·Rikard von Unge·Maxim Zabzine
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Abstract

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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Ulf Lindstrom, Martin Rocek, Rikard von Unge, Maxim Zabzine. 2005-05-09. Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models. https://doi.org/10.1088/1126-6708%2F2005%2F07%2F067

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