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Brane Brick Models And 2d (0, 2) Triality, Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
Brane Brick Models And 2d (0, 2) Triality, Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
Publications and Research
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 …
Brane Brick Models, Toric Calabi-Yau 4-Folds And 2d (0,2) Quivers, Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
Brane Brick Models, Toric Calabi-Yau 4-Folds And 2d (0,2) Quivers, Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
Publications and Research
We introduce brane brick models, a novel type of Type IIA brane congurations 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 innite 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.