Dynamical stochastic higher spin vertex models

  title={Dynamical stochastic higher spin vertex models},
  author={Amol Aggarwal},
  journal={Selecta Mathematica},
  • A. Aggarwal
  • Published 8 April 2017
  • Mathematics
  • Selecta Mathematica
We introduce a new family of integrable stochastic processes, called dynamical stochastic higher spin vertex models, arising from fused representations of Felder’s elliptic quantum group $$E_{\tau , \eta } ({\mathfrak {s}}{\mathfrak {l}}_2)$$Eτ,η(sl2). These models simultaneously generalize the stochastic higher spin vertex models, studied by Corwin–Petrov and Borodin–Petrov, and are dynamical in the sense of Borodin’s recent stochastic interaction round-a-face models. We provide explicit… 
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