On quantization of singular varieties and applications to D-branes | Zendy

Dmitry Melnikov | Zendy; Alexander Solovyov | Zendy

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On quantization of singular varieties and applications to D-branes

Author(s) -

Dmitry Melnikov,

Alexander Solovyov

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/04/045

Subject(s) - orbifold , gravitational singularity , mathematics , affine transformation , differential (mechanical device) , connection (principal bundle) , pure mathematics , quantization (signal processing) , string theory , regular singular point , string (physics) , differential operator , differential geometry , singular point of a curve , mathematical analysis , differential equation , geometry , physics , mathematical physics , ordinary differential equation , algorithm , thermodynamics

We calculate the ring of differential operators on some singular affinevarieties (intersecting stacks, a point on a singular curve or an orbifold).Our results support the proposed connection of the ring of differentialoperators with geometry of D-branes in (bosonic) string theory. In particular,the answer does know about the resolution of singularities in accordance withthe string theory predictions.Comment: LaTeX2e, 17 pages, misprints correcte

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