(Dis)assembling Special Lagrangians

Details (Dis)assembling Special Lagrangians (Dis)assembling Special Lagrangians

2001-07-18

arxiv.org/abs/hep-th/0107152v2

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 12 figures, v2: references added, expanded discussion

Scientific paper

We explain microscopically why split attractor flows, known to underlie certain stationary BPS solutions of four dimensional N=2 supergravity, are the relevant data to describe wrapped D-branes in Calabi-Yau compactifications of type II string theory. We work entirely in the context of the classical geometry of A-branes, i.e. special Lagrangian submanifolds, avoiding both the use of homological algebra and explicit constructions of special Lagrangians. Our results provide a way to disassemble and assemble arbitrary special Lagrangians to and from more simple building blocks, giving a concrete way to determine for example marginal stability walls and deformation moduli spaces.

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