Shifted quiver Yangians and representations from BPS crystals

@inproceedings{Galakhov2021ShiftedQY,
  title={Shifted quiver Yangians and representations from BPS crystals},
  author={Dmitry Galakhov and Wei Li and Masahito Yamazaki},
  year={2021}
}
We introduce a class of new algebras, the shifted quiver Yangians, as the BPS algebras for type IIA string theory on general toric Calabi-Yau three-folds. We construct representations of the shifted quiver Yangian from general subcrystals of the canonical crystal. We derive our results via equivariant localization for supersymmetric quiver quantum mechanics for various framed quivers, where the framings are determined by the shape of the subcrystals. Our results unify many known BPS state… Expand
Toroidal and Elliptic Quiver BPS Algebras and Beyond
  • D. Galakhov, Wei Li, Masahito Yamazaki
  • Physics, Mathematics
  • 2021
The quiver Yangian, an infinite-dimensional algebra introduced recently in [1], is the algebra underlying BPS state counting problems for toric Calabi-Yau three-folds. We introduce trigonometric andExpand
Engineering 3 D N = 2 theories using the quantum affine sl ( 2 ) algebra
The algebraic engineering technique is applied to a class of 3D N = 2 gauge theories on the omega-deformed background Rε ×S 1. The vortex partition function and the fundamental qqcharacter areExpand

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