161 research outputs found
A Link Invariant from Quantum Dilogarithm
The link invariant, arising from the cyclic quantum dilogarithm via the
particular -matrix construction, is proved to coincide with the invariant of
triangulated links in introduced in R.M. Kashaev, Mod. Phys. Lett. A,
Vol.9 No.40 (1994) 3757. The obtained invariant, like Alexander-Conway
polynomial, vanishes on disjoint union of links. The -matrix can be
considered as the cyclic analog of the universal -matrix associated with
algebra.Comment: 10 pages, LaTe
Functional Tetrahedron Equation
We describe a scheme of constructing classical integrable models in
2+1-dimensional discrete space-time, based on the functional tetrahedron
equation - equation that makes manifest the symmetries of a model in local
form. We construct a very general "block-matrix model" together with its
algebro-geometric solutions, study its various particular cases, and also
present a remarkably simple scheme of quantization for one of those cases.Comment: LaTeX, 16 page
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