A sigma model field theoretic realization of Hitchin's generalized complex geometry

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dc.creatorZucchini, Roberto
dc.date2004-09-17
dc.date2004-11-16
dc.date.accessioned2026-07-07T10:50:16Z
dc.date.available2026-07-07T10:50:16Z
dc.descriptionWe present a sigma model field theoretic realization of Hitchin's generalized complex geometry, which recently has been shown to be relevant in compactifications of superstring theory with fluxes. Hitchin sigma model is closely related to the well known Poisson sigma model, of which it has the same field content. The construction shows a remarkable correspondence between the (twisted) integrability conditions of generalized almost complex structures and the restrictions on target space geometry implied by the Batalin--Vilkovisky classical master equation. Further, the (twisted) classical Batalin--Vilkovisky cohomology is related non trivially to a generalized Dolbeault cohomology.
dc.description28 pages, Plain TeX, no figures, requires AMS font files AMSSYM.DEF and amssym.tex. Typos in eq. 6.19 and some spelling corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0409181
dc.identifierhttp://arxiv.org/abs/hep-th/0409181
dc.identifierJHEP0411:045,2004
dc.identifierdoi:10.1088/1126-6708/2004/11/045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184481
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleA sigma model field theoretic realization of Hitchin's generalized complex geometry
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