1. Elliptic triad
- Author
-
Mironov, A., Morozov, A., Popolitov, A., and Zakirova, Z.
- Subjects
High Energy Physics - Theory ,Mathematical Physics - Abstract
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., Comment: 13 pages
- Published
- 2024