(Dis)assembling special Lagrangians

Jul, 2001
35 pages
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Abstract:
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.
  • membrane model: D-brane
  • compactification: Calabi-Yau
  • string model
  • moduli space
  • attractor
  • field theory: deformation
  • bibliography