BPS invariants for a Knot in Seifert manifolds

A bstract 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...

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Veröffentlicht in:	The journal of high energy physics 2022-12, Vol.2022 (12), p.122-24, Article 122
1. Verfasser:	Chung, Hee-Joong
Format:	Artikel
Sprache:	eng
Schlagworte:	Chern-Simons Theories Classical and Quantum Gravitation Decomposition Elementary Particles Field Theories in Lower Dimensions High energy physics Homology Knots Manifolds Physics Physics and Astronomy Polynomials Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Representations Spacetime Spheres String Theory Symmetry Topological Field Theories Wilson, ’t Hooft and Polyakov loops
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Zusammenfassung:	A bstract 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.
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP12(2022)122