Integrable boundary conditions for multi-species ASEP

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

References in corpus (2)

• Two-Species Asymmetric Simple Exclusion Process with Open Boundaries
• Multispecies TASEP and the tetrahedron equation

Cited by in corpus (13)

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• Matrix product solution of a left-permeable two-species asymmetric exclusion process
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• Triangular solutions to the reflection equation for $U_q(\widehat{s{l}_n})$