1993/09/10 by Anna Beliakova, Bergfinnur Durhuus
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #hep-th #math.QA
paper · pdf · doi:10.1007/bf02100592
published as Commun.Math.Phys. 167 (1995) 395 · 38 pages
arxiv created 1993/09/10 · openalex publication_date 1995/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
On basis of generalized 6j-symbols we give a formulation of topological quantum field theories for 3-manifolds including observables in the form of coloured graphs. It is shown that the 6j-symbols associated with deformations of the classical groups at simple even roots of unity provide examples of this construction. Calculational methods are developed which, in particular, yield the dimensions of the state spaces as well as a proof of the relation, previously announced for the case of SUq(2) by V.Turaev, between these models and corresponding ones based on the ribbon graph construction of Reshetikhin and Turaev.