Deconstructing noncommutativity with a giant fuzzy moose | Zendy

Allan Adams | Zendy; Michal Fabinger | Zendy

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Deconstructing noncommutativity with a giant fuzzy moose

Author(s) -

Allan Adams,

Michal Fabinger

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 - 10.1088/1126-6708/2002/04/006

Subject(s) - quiver , noncommutative geometry , theoretical physics , gauge theory , string theory , torsion (gastropod) , mathematics , fuzzy logic , pure mathematics , commutative property , algebra over a field , physics , mathematical physics , computer science , medicine , surgery , artificial intelligence

We argue that the worldvolume theories of D-branes probing orbifolds withdiscrete torsion develop, in the large quiver limit, new non-commutativedirections. This provides an explicit `deconstruction' of a wide class ofnoncommutative theories. This also provides insight into the physical meaningof discrete torsion and its relation to the T-dual B field. We demonstrate thatthe strict large quiver limit reproduces the matrix theory construction ofhigher-dimensional D-branes, and argue that finite `fuzzy moose' theoriesprovide novel regularizations of non-commutative theories and explicit stringtheory realizations of gauge theories on fuzzy tori. We also comment briefly onthe relation to NCOS, (2,0) and little string theories.Comment: 22 pages, 3 figures, typos caught and refs added; expanded interpretation of discrete torsio

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