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Five-brane webs and highest weight representations

Five-brane webs and highest weight representations

We consider BPS-counting functions $$ \mathcal{Z} $$ N,M of N parallel M5-branes probing a transverse ℤ M orbifold geometry. These brane web configurations can be dualised into a class of toric non-compact Calabi-Yau threefolds which have the structure of an elliptic fibration over (affine) AN −1. We make this symmetry …