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arXiv · 2604.15018

Boundary lines and Askey-Wilson type moments

Tadashi Okazaki·Douglas J. Smith
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Abstract

The Wilson line defect half-indices for 3d $\mathcal{N}=2$ gauge theories with boundary confining phases admit a formulation in terms of the Askey-Wilson type moments. In the dual Landau-Ginzburg description the dual line operators can be realized as vortex line defects which induce singular behavior of chiral multiplets associated with the minimal monopole operators, together with additional one-dimensional degrees of freedom. By incorporating such a singular structure as an effective spin shift into the index computation, we obtain exact closed-form expressions for the line defect half-indices which are Askey-Wilson type moments.

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Tadashi Okazaki, Douglas J. Smith. 2026-04-16. Boundary lines and Askey-Wilson type moments. https://doi.org/10.1007/jhep07(2026)166

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