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On Exceptional 't Hooft Lines in 4D-Chern-Simons Theory (2204.12424v1)
Published 26 Apr 2022 in hep-th, math-ph, and math.MP
Abstract: We study 't Hooft lines and the associated $\mathcal{L}$- operators in topological 4D Chern-Simons theory with gauge symmetry given by the exceptional groups E${6}$ and E${7}$. We give their oscillator realisations and propose topological gauge quivers encoding the properties of these topological lines where Darboux coordinates are interpreted in terms of topological fundamental matter. Other related aspects are also described.