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