On the Classification of Brane Tilings

Details On the Classification of Brane Tilings On the Classification of Brane Tilings

2009-09-16

arxiv.org/abs/0909.2868v1

JHEP 1001:078,2010

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 12 figures, 15 tables

Scientific paper

10.1007/JHEP01(2010)078

We present a computationally efficient algorithm that can be used to generate all possible brane tilings. Brane tilings represent the largest class of superconformal theories with known AdS duals in 3+1 and also 2+1 dimensions and have proved useful for describing the physics of both D3 branes and also M2 branes probing Calabi-Yau singularities. This algorithm has been implemented and is used to generate all possible brane tilings with at most 6 superpotential terms, including consistent and inconsistent brane tilings. The collection of inconsistent tilings found in this work form the most comprehensive study of such objects to date.

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