Abstract
We consider the quantum UV-IR map for line defects in class S theories of \( \mathfrak{gl} \)(3)-type. This map computes the protected spin character which counts framed BPS states with spin for the bulk-defect system. We give a geometric method of computing this map motivated by the physics of five-dimensional \( \mathcal{N} \) = 2 supersymmetric Yang-Mills theory, and compute it explicitly in various examples. As a spin-off we propose a new way of computing a certain specialization of the HOMFLY polynomial for links in ℝ3, as a sum over BPS webs attached to the link.
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Neitzke, A., Yan, F. The quantum UV-IR map for line defects in \( \mathfrak{gl} \)(3)-type class S theories. J. High Energ. Phys. 2022, 81 (2022). https://doi.org/10.1007/JHEP09(2022)081
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DOI: https://doi.org/10.1007/JHEP09(2022)081