Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-09-29
Annales Fond.Broglie 29 (2004) 681-694
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, no figure
Scientific paper
This text collects useful results concerning the quasi-Hopf algebra $\D $. We give a review of issues related to its use in conformal theories and physical mathematics. Existence of such algebras based on 3-cocycles with values in $ {R} / {Z} $ which mimic for finite groups Chern-Simons terms of gauge theories, open wide perspectives in the so called "classification program". The modularisation theorem proved for quasi-Hopf algebras by two authors some years ago makes the computation of topological invariants possible. An updated, although partial, bibliography of recent developments is provided.
Altschuler Daniel
Coste Antoine
Maillard Jean-Marie
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