A New Braid-like Algebra for Baxterisation

Nicolas Crampé (1) , L. Frappat (2) , E. Ragoucy (2) , M. Vanicat (2)

1 L2C - Laboratoire Charles Coulomb
2 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique

We introduce a new Baxterisation for R-matrices that depend separately on twospectral parameters. The Baxterisation is based on a new algebra, close to butdifferent from the braid group. This allows us to recover the R-matrix of themulti-species generalization of the totally asymmetric simple exclusion processwith different hopping rates.

Domaines: Physique mathématique [math-ph]

Nicolas Crampé, L. Frappat, E. Ragoucy, M. Vanicat. A New Braid-like Algebra for Baxterisation. Communications in Mathematical Physics, 2017, 349 (1), pp.271-283. ⟨10.1007/s00220-016-2780-y⟩. ⟨hal-01220002⟩