Multiplicity-free Quantum 6j-Symbols for Uq(slN)

Multiplicity-free Quantum 6j-Symbols for Uq(slN)

We conjecture a closed form expression for the simplest class of multiplicity-free quantum 6 j -symbols for U q ( sl N ) . The expression is a natural generalization of the quantum 6 j -symbols for U q ( sl 2 ) obtained by Kirillov and Reshetikhin. Our conjectured form enables computation of colored...

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Veröffentlicht in:Letters in mathematical physics 2013-12, Vol.103 (12), p.1389-1398
Hauptverfasser: Nawata, Satoshi, Pichai, Ramadevi, Zodinmawia
Format: Artikel
Sprache:eng
Schlagworte:
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:We conjecture a closed form expression for the simplest class of multiplicity-free quantum 6 j -symbols for U q ( sl N ) . The expression is a natural generalization of the quantum 6 j -symbols for U q ( sl 2 ) obtained by Kirillov and Reshetikhin. Our conjectured form enables computation of colored HOMFLY polynomials for various knots and links carrying arbitrary symmetric representations.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-013-0651-4