(Dis)assembling Special Lagrangians
نویسنده
چکیده
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 compactifcations 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 powerful and direct way to determine for example marginal stability walls and deformation moduli spaces.
منابع مشابه
Lagrangians , stable bundles and mean curvature flow
We make a conjecture about mean curvature flow of Lagrangian submanifolds of Calabi-Yau manifolds, expanding on that of [Th]. We give new results about the stability condition, and propose a Jordan-Hölder-type decomposition of (special) Lagrangians. The main results are the uniqueness of special Lagrangians in hamiltonian deformation classes of Lagrangians, under mild conditions, and a proof of...
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