Deconstructing Noncommutativity with a Giant Fuzzy Moose
arXiv:hep-th/0111079 · doi:10.1088/1126-6708/2002/04/006
Abstract
We argue that the worldvolume theories of D-branes probing orbifolds with discrete torsion develop, in the large quiver limit, new non-commutative directions. This provides an explicit `deconstruction' of a wide class of noncommutative theories. This also provides insight into the physical meaning of discrete torsion and its relation to the T-dual B field. We demonstrate that the strict large quiver limit reproduces the matrix theory construction of higher-dimensional D-branes, and argue that finite `fuzzy moose' theories provide novel regularizations of non-commutative theories and explicit string theory realizations of gauge theories on fuzzy tori. We also comment briefly on the relation to NCOS, (2,0) and little string theories.
22 pages, 3 figures, typos caught and refs added; expanded interpretation of discrete torsion
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