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Orbifold Reduction And 2d (0,2) Gauge Theories, Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
Orbifold Reduction And 2d (0,2) Gauge Theories, Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
Publications and Research
We introduce Orbifold Reduction, a new method for generating 2d (0; 2) gauge theories associated to D1-branes probing singular toric Calabi-Yau 4-folds starting from 4d N = 1 gauge theories on D3-branes probing toric Calabi-Yau 3-folds. The new procedure generalizes dimensional reduction and orbifolding. In terms of T-dual configurations, it generates brane brick models starting from brane tilings. Orbifold reduction provides an agile approach for generating 2d (0; 2) theories with a brane realization. We present three practical applications of the new algorithm: the connection between 4d Seiberg duality and 2d triality, a combinatorial method for generating theories related by …
Brane Brick Models In The Mirror, Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong, Cumrun Vafa
Brane Brick Models In The Mirror, Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong, Cumrun Vafa
Publications and Research
Brane brick models are Type IIA brane configurations that encode the 2d N = (0; 2) gauge theories on the worldvolume of D1-branes probing toric Calabi-Yau 4-folds. We use mirror symmetry to improve our understanding of this correspondence and to provide a systematic approach for constructing brane brick models starting from geometry. The mirror configuration consists of D5-branes wrapping 4-spheres and the gauge theory is determined by how they intersect. We also explain how 2d (0; 2) triality is realized in terms of geometric transitions in the mirror geometry. Mirror symmetry leads to a geometric unification of dualities in different …