GENERALIZED KAHLER GEOMETRY AND MANIFEST N=(2,2) SUPERSYMMETRIC NONLINEAR SIGMA-MODELS.
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Journal of High Energy Physics |
| MU Faculty or unit | |
| 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. |
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