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Deconstructing noncommutativity with a giant fuzzy moose

Allan Adams1 and Michal Fabinger1

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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.


Keywords

Lattice Gauge Field Theories

M(atrix) Theories

Brane Dynamics in Gauge Theories

Non-Commutative Geometry

PACS

11.25.Uv D branes

11.25.Yb M theory

11.10.Nx Noncommutative field theory

11.15.Ha Lattice gauge theory

Subjects

Particle physics and field theory

Dates

Issue 04 (April 2002)

Received 22 January 2002, accepted for publication 4 April 2002

Published 15 April 2002



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