Knot invariants from Virasoro related representation and pretzel knots

Galakhov, D.; Melnikov, D.; Mironov, A.; Morozov, A.

doi:10.1016/j.nuclphysb.2015.07.035

Title: Knot invariants from Virasoro related representation and pretzel knots

Journal Article · Thu Oct 01 00:00:00 EDT 2015 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2015.07.035· OSTI ID:1209581

Galakhov, D.; Melnikov, D.; Mironov, A.; Morozov, A.

In this study, we remind the method to calculate colored Jones polynomials for the plat representations of knot diagrams from the knowledge of modular transformation (monodromies) of Virasoro conformal blocks with insertions of degenerate fields. As an illustration we use a rich family of pretzel knots, lying on a surface of arbitrary genus g, which was recently analyzed by the evolution method. Further generalizations can be to generic Virasoro modular transformations, provided by integral kernels, which can lead to the Hikami invariants.

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Research Organization:: Rutgers Univ., Piscataway, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010008; ARRA-SC0003883; SC0007897; SC0003883

OSTI ID:: 1209581

Alternate ID(s):: OSTI ID: 1240267

Journal Information:: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 899 Journal Issue: C; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 26 works

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