Boundary Algebra and Exact Solvability of the Asymmetric Exclusion Process

DOI

10.2991/jnmp.2008.15.s3.3How to use a DOI?

Abstract

We consider a lattice driven diffusive system withUq(su(2)) invariance in the bulk. Within the matrix product states approach the stationary probability distribution is expressed as a matrix product state with respect to a quadratic algebra. Boundary processes amount to the appearance of parameter dependent linear terms in the algebraic relations and lead to a reduction of the bulk symmetry. We find the boundary quantum group of the process to be a tridiagonal algebra, the linear covariance algebra for the bulk Uq(su(2)) symmetry, which allows for the exact solvability.

Copyright

© 2008, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Boyka Aneva
PY  - 2008
DA  - 2008/10/01
TI  - Boundary Algebra and Exact Solvability of the Asymmetric Exclusion Process
JO  - Journal of Nonlinear Mathematical Physics
SP  - 22
EP  - 33
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.3
DO  - 10.2991/jnmp.2008.15.s3.3
ID  - Aneva2008
ER  -