Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-01-10
JHEP 0503 (2005) 022
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, Plain TeX, no figures, requires AMS font files AMSSYM.DEF and amssym.tex. Additional references and a discussion sec
Scientific paper
10.1088/1126-6708/2005/03/022
Hitchin's generalized complex geometry has been shown to be relevant in compactifications of superstring theory with fluxes and is expected to lead to a deeper understanding of mirror symmetry. Gualtieri's notion of generalized complex submanifold seems to be a natural candidate for the description of branes in this context. Recently, we introduced a field theoretic realization of generalized complex geometry, the Hitchin sigma model, extending the well known Poisson sigma model. In this paper, exploiting Gualtieri's formalism, we incorporate branes into the model. A detailed study of the boundary conditions obeyed by the world sheet fields is provided. Finally, it is found that, when branes are present, the classical Batalin--Vilkovisky cohomology contains an extra sector that is related non trivially to a novel cohomology associated with the branes as generalized complex submanifolds.
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