2016/02/21 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/jhep05(2016)020
published as JHEP 1605:020,2016 · 66 pages, 50 figures. v2: references and minor clarification added
arxiv created 2016/02/21 · arxiv updated 2016/05/09
We provide a brane realization of 2d (0,2) Gadde-Gukov-Putrov triality in terms of brane brick models. These are Type IIA brane configurations that are T-dual to D1-branes over singular toric Calabi-Yau 4-folds. Triality translates into a local transformation of brane brick models, whose simplest representative is a cube move. We present explicit examples and construct their triality networks. We also argue that the classical mesonic moduli space of brane brick model theories, which corresponds to the probed Calabi-Yau 4-fold, is invariant under triality. Finally, we discuss triality in terms of phase boundaries, which play a central role in connecting Calabi-Yau 4-folds to brane brick models.