Extended su(2)_k and restricted U_q sl(2)

Details Extended su(2)_k and restricted U_q sl(2) Extended su(2)_k and restricted U_q sl(2)

2007-12-13

arxiv.org/abs/0712.2158v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, extended version of a talk at the International Workshop "Lie Theory and Its Applications in Physics VII" (Varna, Bu

Scientific paper

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.

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