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BPS Invariants for a Knot in Seifert Manifolds

High Energy Physics - Theory 2023-01-04 v3 Mathematical Physics Geometric Topology math.MP

Abstract

We calculate homological blocks for a knot in Seifert manifolds when the gauge group is SU(N)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.

Keywords

Cite

@article{arxiv.2201.08351,
  title  = {BPS Invariants for a Knot in Seifert Manifolds},
  author = {Hee-Joong Chung},
  journal= {arXiv preprint arXiv:2201.08351},
  year   = {2023}
}

Comments

26 pages, v2 minor revisions; v3 minor revisions, published version

R2 v1 2026-06-24T08:56:58.423Z