Extended su(2)_k and restricted U_q sl(2)
High Energy Physics - Theory
2007-12-14 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
Global gauge symmetry becomes more intricate in low dimensional QFT. We survey the mathematical concepts leading to the relevant analogues of the (D=4) Doplicher-Haag-Roberts theory of superselection sectors and internal symmetry. We also review a recently uncovered duality between braid and quantum group representations in an extension of the chiral su(2)_k WZNW model for nonnegative integer level k.
Cite
@article{arxiv.0712.2158,
title = {Extended su(2)_k and restricted U_q sl(2)},
author = {Ludmil Hadjiivanov and Paolo Furlan},
journal= {arXiv preprint arXiv:0712.2158},
year = {2007}
}
Comments
11 pages, extended version of a talk at the International Workshop "Lie Theory and Its Applications in Physics VII" (Varna, Bulgaria, June 2007), to appear in the proceedings (eds. V. Dobrev et.al., Heron Press, Sofia)