Brane Tilings and Non-Commutative Geometry

Details Brane Tilings and Non-Commutative Geometry Brane Tilings and Non-Commutative Geometry

2010-03-15

arxiv.org/abs/1003.2862v2

JHEP 1103:026,2011

Physics

High Energy Physics

High Energy Physics - Theory

23 pages; v2: reference added, minor changes

Scientific paper

10.1007/JHEP03(2011)026

We derive the quiver gauge theory on the world-volume of D3-branes transverse to an L(a,b,c) singularity by computing the endomorphism algebra of a tilting object first constructed by Van den Bergh. The quiver gauge theory can be concisely specified by an embedding of a graph into a face-centered cubic lattice. In this description, planar Seiberg dualities of the gauge theory act by changing the graph embedding. We use this description of Seiberg duality to show these quiver gauge theories possess periodic Seiberg dualities whose existence was expected from the AdS/CFT correspondence.

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