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

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

2004-09-17

arxiv.org/abs/hep-th/0409181v4

JHEP0411:045,2004

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Plain TeX, no figures, requires AMS font files AMSSYM.DEF and amssym.tex. Typos in eq. 6.19 and some spelling correc

Scientific paper

10.1088/1126-6708/2004/11/045

We 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.

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