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

2007/12/13 by Ludmil Hadjiivanov, Hadjiivanov, Ludmil, P. Furlan +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.0712.2158

openalex publication_date 2007/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A canonical Tannaka duality for finite seimisimple tensor categories

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