On quantization of singular varieties and applications to D-branes

Dmitry Melnikov*, Alexander Solovyov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)1103-1119
Number of pages17
JournalJournal of High Energy Physics
Volume6
Issue number4
StatePublished - 1 Apr 2002
Externally publishedYes

Keywords

  • Bosonic Strings
  • D-branes
  • Differential and Algebraic Geometry

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