Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers

2015/10/31 by Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.AG #math.CO #math.MP

paper · pdf · doi:10.1007/jhep02(2016)047

published as JHEP 1602:047,2016 · 80 pages, 53 figures. v3: Minor clarification added. Published version

arxiv created 2016/02/03 · arxiv updated 2016/02/16

Abstract

We introduce brane brick models, a novel type of Type IIA brane configurations consisting of D4-branes ending on an NS5-brane. Brane brick models are T-dual to D1-branes over singular toric Calabi-Yau 4-folds. They fully encode the infinite class of 2d (generically) N=(0,2) gauge theories on the worldvolume of the D1-branes and streamline their connection to the probed geometries. For this purpose, we also introduce new combinatorial procedures for deriving the Calabi-Yau associated to a given gauge theory and vice versa.

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