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Integrable boundary conditions for multi-species ASEP

Mathematical Physics 2017-05-03 v1 Statistical Mechanics math.MP

Abstract

The first result of the present paper is to provide classes of explicit solutions for integrable boundary matrices for the multi-species ASEP with an arbitrary number of species. All the solutions we have obtained can be seen as representations of a new algebra that contains the boundary Hecke algebra. The boundary Hecke algebra is not sufficient to build these solutions. This is the second result of our paper.

Keywords

Cite

@article{arxiv.1606.01018,
  title  = {Integrable boundary conditions for multi-species ASEP},
  author = {N. Crampe and C. Finn and E. Ragoucy and M. Vanicat},
  journal= {arXiv preprint arXiv:1606.01018},
  year   = {2017}
}

Comments

20 pages

R2 v1 2026-06-22T14:16:42.974Z