Speaker
Wei Li
(ITP, Chinese Academy of Sciences)
Description
I will first explain how to construct BPS algebras for string theory on general toric Calabi-Yau threefolds, based on the 3D colored crystals that describe BPS states of the system. The resulting algebras are shifted quiver Yangians Y(Q,W) that are associated with the quiver and the superpotential of the theory. Then I will show how to construct representations of a shifted quiver Yangian from general subcrystals of the canonical crystal, and how the shape of the subcrystal determines the framing of the quiver.