A new braid-like algebra for Baxterisation
arXiv:1509.05516 · doi:10.1007/s00220-016-2780-y
Abstract
We introduce a new Baxterisation for R-matrices that depend separately on two spectral parameters. The Baxterisation is based on a new algebra, close to but different from the braid group. This allows us to recover the R-matrix of the multi-species generalization of the totally asymmetric simple exclusion process with different hopping rates.
13 pages
References in corpus (4)
- Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
- Integrable approach to simple exclusion processes with boundaries. Review and progress
- Algebraic Bethe Ansatz for the two species ASEP with different hopping rates
- R-matrices of three-state Hamiltonians solvable by Coordinate Bethe Ansatz
Cited by in corpus (5)
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- Non-hermitian integrable systems from constant non-invertible solutions of the Yang-Baxter equation
- Almost local integrable models from supersymmetry algebras
- A stochastic model solvable without integrability