BPS invariants for a Knot in Seifert manifolds-Reference-Cited by-同舟云学术

BPS invariants for a Knot in Seifert manifolds

Published:2022-12-21 Issue:12 Volume:2022 Page:
ISSN:1029-8479
Container-title:Journal of High Energy Physics
language:en
Short-container-title:J. High Energ. Phys.

Author:

Chung Hee-Joong

Abstract

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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Link

https://link.springer.com/content/pdf/10.1007/JHEP12(2022)122.pdf

Reference24 articles.

1. E. Witten, Quantum Field Theory and the Jones Polynomial, Commun. Math. Phys. 121 (1989) 351 [INSPIRE].

2. S. Gukov, D. Pei, P. Putrov and C. Vafa, BPS spectra and 3-manifold invariants, J. Knot Theor. Ramifications 29 (2020) 2040003 [arXiv:1701.06567] [INSPIRE].

3. S. Gukov and C. Manolescu, A two-variable series for knot complements, Quantum Topol. 12 (2021) 1 [arXiv:1904.06057] [INSPIRE].

4. S. Gukov, P. Putrov and C. Vafa, Fivebranes and 3-manifold homology, JHEP 07 (2017) 071 [arXiv:1602.05302] [INSPIRE].

5. P.M. Melvin and H.R. Morton, The coloured Jones function, Commun. Math. Phys. 169 (1995) 501.

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