545 citations · 13.6k across the 195 of their papers we have counts for
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Brane Tilings, M2-branes and Chern-Simons Theories
John Davey, Amihay Hanany, Noppadol Mekareeya +1
We investigate (2+1)-dimensional quiver Chern-Simons theories that arise from the study of M2-branes probing toric Calabi-Yau 4-folds. These theories can be elegantly described usi…
On the Classification of Brane Tilings
John Davey, Amihay Hanany, Jurgis Pasukonis
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…
Higgsing M2-brane Theories
John Davey, Amihay Hanany, Noppadol Mekareeya +1
Connections between different M2-brane theories are established via the Higgs mechanism, which can be most efficiently studied on brane tilings. This leads to several M2-brane mode…
Chern-Simons: Fano and Calabi-Yau
Amihay Hanany, Yang-Hui He
We present the complete classification of smooth toric Fano threefolds, known to the algebraic geometry literature, and perform some preliminary analyses in the context of brane-ti…