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

Vipul Periwal | Zendy

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

Author(s) -

Vipul Periwal

Publication year - 2000

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

Subject(s) - subvariety , abelian group , quantization (signal processing) , homology (biology) , pure mathematics , mathematics , d brane , brane , physics , theoretical physics , mathematical physics , variety (cybernetics) , biochemistry , statistics , chemistry , algorithm , gene

I construct a map from the Grothendieck group of coherent sheaves to$K$-homology. This results in explicit realizations of $K$-homology cyclesassociated with D-brane configurations. Non-Abelian degrees of freedom arise inthis 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 somevariety $X$ is geometrically interpreted as the deformation quantization of theformal completion of $X$ along $V.$Comment: 8 pages, RevTe

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