Deformations and D-branes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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33 pages, uses utarticle.cls, dcpic.sty; v2: minor corrections and refs added

Scientific paper

I discuss the relation of Hochschild cohomology to the physical states in the closed topological string. This allows a notion of deformation intrinsic to the derived category. I use this to identify deformations of a quiver gauge theory associated to a D-branes at a singularity with generalized deformations of the geometry of the resolution of the singularity. An explicit map is given from noncommutative deformations (ie, B-fields) to terms in the superpotential.

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