Journal of Physics A Mathematical and Theoretical· 2026Q2
Orthogonal dualities of dynamic stochastic higher spin vertex models, using the Drinfeld twister
- 1citations
- Q2SCImago
- 2026year
Short summary
A new algebraic method using the Drinfeld twister constructs duality functions for dynamic stochastic higher spin vertex models, proving they are 3φ2 functions.
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Key points
- Introduced a new algebraic method for constructing duality functions of integrable dynamic models.
- Applied the method to dynamic stochastic higher spin vertex models, identifying duality functions as 3φ2 functions.
- Showed that a degeneration of these functions results in dual q-Krawtchouk polynomials.
- The method utilizes the universal twister of Uq(sl2) as a quasitriangular quasi-Hopf algebra.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract We introduce a new algebraic method to construct duality functions for integrable dynamic models. This method will be implemented on dynamic stochastic higher spin vertex models, where we prove that the resulting duality functions between the dynamic stochastic higher spin vertex models and non-dynamic stochastic higher spin vertex models are the 3 φ 2 functions. A degeneration of these duality functions is dual q-Krawtchouk polynomials, which agree with the orthogonal polynomial dualities of between dynamic ASEP and ASEP.The method relies on the universal twister of U q (sl 2 ), regarded as a quasitriangular quasi-Hopf algebra. Since the algebraic construction is formulated in a general setting, it is expected to produce duality functions for many other dynamic integrable models as well.
The authors' abstract, as published at the source. Journal of Physics A Mathematical and Theoretical, 2026 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics