Quantum algebras, particle phenomenology, and (quasi)supersymmetry

Physics – High Energy Physics – High Energy Physics - Phenomenology

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8 pages, LaTeX; talk given at the 4th International Conference "Symmetry in Nonlinear Mathematical Physics", Kyiv (Kiev), Ukra

Scientific paper

Quantum algebras U_q(su_n) used as the algebras of flavour symmetry (usually described by SU(n)) to study static properties of hadrons lead to intriguing results. In this contribution we focus on the peculiar properties manifested by different q-deformed structures (e.g., the braided line, the quantum algebras U_q(su_2) and U_q(su_n), n >= 3) in the special limit of q = -1. Similarities (complete or partial) with supersymmetry that emerge in this special limit are discussed.

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