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Quantum Dilogarithm as a 6j-Symbol

High Energy Physics - Theory 2009-10-28 v2 Quantum Algebra

Abstract

The cyclic quantum dilogarithm is interpreted as a cyclic 6j-symbol of the Weyl algebra, considered as a Borel subalgebra BUq(sl(2))BU_q(sl(2)). Using modified 6j-symbols, an invariant of triangulated links in triangulated 3-manifolds is constructed. Apparently, it is an ambient isotopy invariant of links.

Keywords

Cite

@article{arxiv.hep-th/9411147,
  title  = {Quantum Dilogarithm as a 6j-Symbol},
  author = {R. M. Kashaev},
  journal= {arXiv preprint arXiv:hep-th/9411147},
  year   = {2009}
}

Comments

12 pages, TeX; references added