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SU(N) quantum Racah coefficients and non-torus links

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Title SU(N) quantum Racah coefficients and non-torus links
 
Creator ZODINMAWIA
RAMADEVI, P
 
Subject Chem-Simons field theory
Knot polynomials
Ooguri-Vafa conjecture
TOPOLOGICAL STRING AMPLITUDES
CHERN-SIMONS THEORY
INVARIANTS
KNOTS
 
Description It is well known that the SU(2) quantum Racah coefficients or the Wigner 6j symbols have a closed form expression which enables the evaluation of any knot or link polynomials in SU(2) Chem-Simons field theory. Using isotopy equivalence of SU(N) Chem-Simons functional integrals over three-balls with one or more S-2 boundaries with punctures, we obtain identities to be satisfied by the SU(N) quantum Racah coefficients. This enables evaluation of the coefficients for a class of SU (N) representations. Using these coefficients, we can compute the polynomials for some non-torus knots and two-component links. These results are useful for verifying conjectures in topological string theory. (C) 2013 Elsevier B.V. All rights reserved.
 
Publisher ELSEVIER SCIENCE BV
 
Date 2014-10-14T12:29:38Z
2014-10-14T12:29:38Z
2013
 
Type Article
 
Identifier NUCLEAR PHYSICS B, 870(1)205-242
http://dx.doi.org/10.1016/j.nuclphysb.2012.12.020
http://dspace.library.iitb.ac.in/jspui/handle/100/14422
 
Language en