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Integrable boundary conditions for multi-species ASEP

arXiv:1606.01018 · doi:10.1088/1751-8113/49/37/375201

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.

20 pages