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- W3184228113 abstract "The algebraic engineering technique is applied to a class of 3D $mathcal{N}=2$ gauge theories on the omega-deformed background $mathbb{R}_epsilon^2times S^1$. The vortex partition function and the fundamental qq-character are obtained from a network of intertwiners between representations of the shifted (or asymptotic) quantum affine $mathfrak{sl}(2)$ algebra. This network involves two types of representations, the prefundamental representation of Hernandez-Jimbo, and a new vertex representation acting on a bosonic Fock space. The brane system associated to this network is identified: D3 branes carry the prefundamental module while NS5-branes (+D5) support the Fock module. In the process, we highlight the role of shifted quantum algebras in implementing the Higgsing procedure." @default.
- W3184228113 created "2021-08-02" @default.
- W3184228113 creator A5090801588 @default.
- W3184228113 date "2021-07-21" @default.
- W3184228113 modified "2023-09-27" @default.
- W3184228113 title "Engineering 3D $mathcal{N}=2$ theories using the quantum affine $mathfrak{sl}(2)$ algebra" @default.
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