Deformation quantization as the origin of D-brane non-Abelian degrees of freedom
Vipul Periwal
Журнал:
Journal of High Energy Physics
Дата:
2000-08-01
Аннотация:
I construct a map from the Grothendieck group of coherent sheaves to K-homology. This results in explicit realizations of K-homology cycles associated with D-brane configurations. Non-abelian degrees of freedom arise in this framework from the deformation quantization of N-tuple cycles. The large-N limit of the gauge theory on D-branes wrapped on a subvariety V of some variety X is geometrically interpreted as the deformation quantization of the formal completion of X along V.
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