Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Dmitry Galakhov, Wei Li, Masahito Yamazaki, ,
| Summary:
The quiver Yangian, an infinite-dimensional algebra introduced recently in
arXiv:2003.08909, is the algebra underlying BPS state counting problems for
toric Calabi-Yau three-folds. We introduce trigonometric and elliptic analogues
of quiver Yangians, which we call toroidal quiver algebras and elliptic quiver
algebras, respectively. We construct the representations of the shifted
toroidal and elliptic algebras in terms of the statistical model of crystal
melting. We also derive the algebras and their representations from equivariant
localization of three-dimensional $mathcal{N}=2$ supersymmetric quiver gauge
theories, and their dimensionally-reduced counterparts. The analysis of
supersymmetric gauge theories suggests that there exist even richer classes of
algebras associated with higher-genus Riemann surfaces and generalized
cohomology theories.
| Search Query: ArXiv Query: search_query=au:”Masahito Yamazaki”&id_list=&start=0&max_results=10