Deformation quantization as the origin of D-brane non-Abelian degrees of freedom

Vipul Periwal

doi:10.1088/1126-6708/2000/08/021

Deformation quantization as the origin of D-brane non-Abelian degrees of freedom

High Energy Physics - Theory 2009-10-31 v1

Authors: Vipul Periwal

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Abstract

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 $V.$

Keywords

deformation quantization D-brane non-Abelian degrees of freedom Grothendieck group K-homology large N limit

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@article{arxiv.hep-th/0008046,
  title  = {Deformation quantization as the origin of D-brane non-Abelian degrees of freedom},
  author = {Vipul Periwal},
  journal= {arXiv preprint arXiv:hep-th/0008046},
  year   = {2009}
}

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Deformation quantization as the origin of D-brane non-Abelian degrees of freedom

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