2024
DOI: 10.1007/jhep06(2024)006
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Line defect half-indices of SU(N) Chern-Simons theories

Tadashi Okazaki,
Douglas J. Smith

Abstract: We study the Wilson line defect half-indices of 3d $$ \mathcal{N} $$ N = 2 supersymmetric SU(N) Chern-Simons theories of level k ≤ – N with Neumann boundary conditions for the gauge fields, together with 2d Fermi multiplets and fundamental 3d chiral multiplets to cancel the gauge anomaly. We derive some exact results and also make some conjectures based on expansions of the q-series. We find several interesting connections with special functions known in the literature, inclu… Show more

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