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- W4210366867 abstract "A bstract 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 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 $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 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." @default.
- W4210366867 created "2022-02-08" @default.
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- W4210366867 date "2022-02-01" @default.
- W4210366867 modified "2023-10-18" @default.
- W4210366867 title "Toroidal and elliptic quiver BPS algebras and beyond" @default.
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- W4210366867 doi "https://doi.org/10.1007/jhep02(2022)024" @default.
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