Deconstructing noncommutativity with a giant fuzzy moose
Dec, 200123 pages
Published in:
- JHEP 04 (2002) 006
e-Print:
- hep-th/0111079 [hep-th]
Report number:
- SLAC-PUB-9052,
- SU-ITP-01-46
View in:
Citations per year
Abstract: (arXiv)
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.Note:
- 22 pages, 3 figures, typos caught and refs added; expanded interpretation of discrete torsion
- membrane model: D-brane
- orbifold
- torsion: discrete
- field theory: noncommutative
- string model
- torus: fuzzy
- quiver
- scaling
- moose: fuzzy
- matrix model
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