Theoretical study demonstrates orthogonal dualities using the Drinfeld twister in dynamic stochastic vertex models, suggesting broad applicability to general dynamic integrable systems.
Key Points
Introduce a novel algebraic framework using the universal Drinfeld twister to construct duality functions for integrable dynamic stochastic models.
Applied the universal twister of the quantum group U_q(sl_2) treated as a quasitriangular quasi-Hopf algebra.
Constructed an algebraic mapping between dynamic stochastic higher spin vertex models and standard non-dynamic stochastic higher spin vertex models.
Proved that the resulting duality functions relating dynamic and non-dynamic higher spin vertex models are basic hypergeometric 3-phi-2 functions.
Showed that degenerations of these functions yield dual q-Krawtchouk polynomials matching established orthogonal polynomial dualities between dynamic ASEP and ASEP.