Lens Hyperbolic Modular Double
Ya\u{g}mur B\"ulb\"ul, Ilmar Gahramanov, Ali Mert Yetkin, Reyhan Yumu\c{s}ak
TL;DR
This paper introduces the lens hyperbolic modular double, an algebraic structure that generates solutions to the Yang-Baxter equation using lens hyperbolic hypergeometric functions.
Contribution
It constructs a novel algebraic framework, the lens hyperbolic modular double, linking it to solutions of the Yang-Baxter equation.
Findings
Development of the lens hyperbolic modular double algebraic structure
Intertwining operator produces lens hyperbolic hypergeometric solutions
Establishes connection between algebraic structure and integrable models
Abstract
We construct the lens hyperbolic modular double, a new algebraic structure whose intertwining operator produces a lens hyperbolic hypergeometric solution of the Yang--Baxter equation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Holomorphic and Operator Theory · Analytic and geometric function theory