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BPS Invariants for a Knot in Seifert Manifolds (2201.08351v3)
Published 20 Jan 2022 in hep-th, math-ph, math.GT, and math.MP
Abstract: We calculate homological blocks for a knot in Seifert manifolds when the gauge group is $SU(N)$. We obtain the homological blocks with a given representation of the gauge group from the expectation value of the Wilson loop operator by analytically continuing the Chern-Simons level. We also obtain homological blocks with the analytically continued level and representation for a knot in the Seifert integer homology spheres.