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Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
2005 (English)In: Journal of High Energy Physics, Vol. 0507, 067- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2005. Vol. 0507, 067- p.
Identifiers
URN: urn:nbn:se:uu:diva-79440OAI: oai:DiVA.org:uu-79440DiVA: diva2:107353
Available from: 2006-04-10 Created: 2006-04-10 Last updated: 2011-01-11

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Lindström, UlfZabzine, Maxim

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