A Sigma model field theoretic realization of Hitchin's generalized complex geometry
Sep, 200425 pages
Published in:
- JHEP 11 (2004) 045
e-Print:
- hep-th/0409181 [hep-th]
Report number:
- DFUB-04-03
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Abstract:
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.- Sigma Models
- BRST Symmetry
- Superspaces
- Differential and Algebraic Geometry
- sigma model: nonlinear
- geometry: algebra
- analytic properties
- cohomology
- quantization: Batalin-Vilkovisky
- differential forms
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