Bulg. J. Phys. vol.35 no.s1 (2008), pp. 151-160

Extended and Restricted Uq sl (2)

Ludmil Hadjiivanov1,2,4, Paolo Furlan3,4
1Theoretical and Mathematical Physics Division, Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Tsarigradsko Chaussee 72, BG-1784 Sofia, Bulgaria
2International School for Advanced Studies (SISSA/ISAS), via Beirut 2-4, I-34014 Trieste, Italy
3Dipartimento di Fisica Teorica dell' Università degli Studi di Trieste, Strada Costiera 11, I-34014 Trieste, Italy
4Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Trieste, Trieste, Italy
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 WZNW model for non-negative integer level k.

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