2024/12/27 by А. Миронов, А. Морозов, Mironov, A. +5
Medicine · #FOS: Physical sciences #Gastrointestinal disorders and treatments #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2412.19588
openalex publication_date 2024/12/27 · openalex created_date 2024/12/31 · openalex updated_date 2026/07/28
The triad refers to embedding the Macdonald polynomials into the Noumi-Shiraishi functions and their reduction to solutions of simple linear equations at particular values of t. It provides an alternative definition of Macdonald theory. We discuss lifting the triad to an elliptic generalization of the Noumi-Shiraishi functions. The central unknown ingredient is linear equations, for which we discuss various possible approaches, including immediate elliptic deformation of periodicity conditions, (elliptic) Ding-Iohara-Miki algebra operators, and elliptic Kostka coefficients.