On quantization of singular varieties and applications to D-branes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX2e, 17 pages, misprints corrected

Scientific paper

10.1088/1126-6708/2002/04/045

We calculate the ring of differential operators on some singular affine varieties (intersecting stacks, a point on a singular curve or an orbifold). Our results support the proposed connection of the ring of differential operators with geometry of D-branes in (bosonic) string theory. In particular, the answer does know about the resolution of singularities in accordance with the string theory predictions.

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