Integrable stochastic dualities and the deformed Knizhnik-Zamolodchikov equation
Zeying Chen, Jan de Gier, Michael Wheeler
TL;DR
This paper introduces a novel approach to derive duality functions in multi-species asymmetric exclusion processes using solutions from deformed Knizhnik-Zamolodchikov equations, extending known results for single-species ASEP.
Contribution
The paper develops a new method linking deformed KZ equations to duality functions in multi-species ASEP, broadening the theoretical framework.
Findings
Derived duality functions for multi-species ASEP
Reproduced known duality functions for single-species ASEP
Established a connection between KZ equations and stochastic dualities
Abstract
We present a new method for obtaining duality functions in multi-species asymmetric exclusion processes (mASEP), from solutions of the deformed Knizhnik-Zamolodchikov equations. Our method reproduces, as a special case, duality functions for the self-dual single species ASEP on the integer lattice.
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