Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2015, Volume 101, Issue 1, Pages 54–58
DOI: https://doi.org/10.7868/S0370274X15010117 (Mi jetpl4519) 		 
This article is cited in 4 scientific papers (total in 4 papers)

METHODS OF THEORETICAL PHYSICS

Matrix integral expansion of coloured Jones polynomials for figure-eight knot

A. Aleksandrovab, D. G. Mel'nikovbc

a Mathematics Institute, University of Freiburg
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow
c International Institute of Physics, UFRN, Capim Macio, Brazil
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DOI: https://doi.org/10.7868/S0370274X15010117
Abstract: In this note we examine a possible extension of the matrix integral representation of knot invariants beyond the class of torus knots. In particular, we study a representation of the $SU(2)$ quantum Racah coefficients by double matrix integrals. We find that the Racah coefficients are mapped to expansion coefficients in some basis of double integrals. The transformed coefficients have a number of interesting algebraic properties.
Received: 20.11.2014
English version:
Journal of Experimental and Theoretical Physics Letters, 2015, Volume 101, Issue 1, Pages 51–56
DOI: https://doi.org/10.1134/S0021364015010026
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Aleksandrov, D. G. Mel'nikov, “Matrix integral expansion of coloured Jones polynomials for figure-eight knot”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:1 (2015), 54–58; JETP Letters, 101:1 (2015), 51–56
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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