New spin generalisation for long range interaction models

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dc.creatorCrampe, N.
dc.date2005-11-20
dc.date2006-08-24
dc.date.accessioned2026-07-07T06:50:31Z
dc.date.available2026-07-07T06:50:31Z
dc.descriptionWe study new interactions between degrees of freedom for Calogero, Sutherland and confined Calogero spin models. These interactions are encoded by the generators of the Lie algebra so(N) or sp(N). We find the symmetry algebras of these new models: the half-loop algebra based on so(N) or sp(N) for the Calogero models and the Yangian of so(N) or sp(N) for the two types of other models. Surprisingly, these symmetry occur only for a specific value of the coupling constant.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0511062
dc.identifierhttp://arxiv.org/abs/math-ph/0511062
dc.identifierLett.Math.Phys. 77 (2006) 127-137
dc.identifierdoi:10.1007/s11005-006-0076-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104691
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject70H06, 81R12, 81R50
dc.titleNew spin generalisation for long range interaction models
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