On the Classification of Brane Tilings
High Energy Physics - Theory
2010-12-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0909.2868,
title = {On the Classification of Brane Tilings},
author = {John Davey and Amihay Hanany and Jurgis Pasukonis},
journal= {arXiv preprint arXiv:0909.2868},
year = {2010}
}
Comments
33 pages, 12 figures, 15 tables