Generalized Kahler geometry and manifest N = (2,2) supersymmetric nonlinear sigma-models
Nov, 2004
21 pages
Published in:
- JHEP 07 (2005) 067
e-Print:
- hep-th/0411186 [hep-th]
Report number:
- UUITP-25-04,
- HIP-2004-64-TH,
- YITP-SB-04-63
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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.- sigma model: nonlinear
- dimension: 2
- supersymmetry
- geometry: Kaehler
- field theory: topological
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