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D-branes, Categories and N=1 Supersymmetry
Michael R. Douglas
We show that boundary conditions in topological open string theory on Calabi-Yau manifolds are objects in the derived category of coherent sheaves, as foreseen in the homological m…
D-Branes on Calabi-Yau Manifolds
Michael R. Douglas
We give an overview of recent work on Dirichlet branes on Calabi-Yau threefolds which makes contact with Kontsevich's homological mirror symmetry proposal, proposes a new definitio…
D-branes on Stringy Calabi-Yau Manifolds
Duiliu-Emanuel Diaconescu, Michael R. Douglas
We argue that D-branes corresponding to rational B boundary states in a Gepner model can be understood as fractional branes in the Landau-Ginzburg orbifold phase of the linear sigm…
Flux Stabilization of D-branes
C. Bachas, M. Douglas, C. Schweigert
We explain how D-branes on group manifolds are stabilized against shrinking by quantized worldvolume U(1) fluxes. Starting from the Born-Infeld action in the case of the SU(2) grou…
The spectrum of BPS branes on a noncompact Calabi-Yau
Michael R. Douglas, Bartomeu Fiol, Christian Römelsberger
We begin the study of the spectrum of BPS branes and its variation on lines of marginal stability on O_P^2(-3), a Calabi-Yau ALE space asymptotic to C^3/Z_3. We show how to get the…
Stability and BPS branes
Michael R. Douglas, Bartomeu Fiol, Christian Römelsberger
We define the concept of Pi-stability, a generalization of mu-stability of vector bundles, and argue that it characterizes N=1 supersymmetric brane configurations and BPS states in…