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A comprehensive survey of brane tilings

Franco, S., He, Y-H., Sun, C. and Xiao, Y. (2017). A comprehensive survey of brane tilings. International Journal of Modern Physics A, 32(23-24), 1750142.. doi: 10.1142/S0217751X17501421


An infinite class of 4dN=1 gauge theories can be engineered on the worldvolume of D3-branes probing toric Calabi–Yau 3-folds. This kind of setup has multiple applications, ranging from the gauge/gravity correspondence to local model building in string phenomenology. Brane tilings fully encode the gauge theories on the D3-branes and have substantially simplified their connection to the probed geometries. The purpose of this paper is to push the boundaries of computation and to produce as comprehensive a database of brane tilings as possible. We develop efficient implementations of brane tiling tools particularly suited for this search. We present the first complete classification of toric Calabi–Yau 3-folds with toric diagrams up to area 8 and the corresponding brane tilings. This classification is of interest to both physicists and mathematicians alike.

Publication Type: Article
Additional Information: Electronic version of an article published as International Journal of Modern Physics A, Vol. 32, (2017) Article No. 1750142 https://doi-org/10.1142/S0217751X17501421 © copyright World Scientific Publishing Company,
Publisher Keywords: Brane tiling; gauge theory
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Text - Accepted Version
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