233 citations · 2.4k across the 47 of their papers we have counts for
47 papers
Non-stationary difference equation and affine Laumon space III : Generalization to
Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno +4
In a series of papers we have considered a non-stationary difference equation which was originally discovered for the deformed Virasoro conformal block. The equation involves mass…
Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation
Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno +4
We show that Shakirov's non-stationary difference equation, when it is truncated, implies the quantum Knizhnik-Zamolodchikov (-KZ) equation for $U_{\mathsf v}\bigl(A_1^{(1)}\big…
Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation
Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno +4
We show the relation of the non-stationary difference equation proposed by one of the authors and the quantized discrete Painlevé VI equation. The five-dimensional Seiberg-Witten c…
Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function
H. Awata, H. Kanno, A. Mironov +1
As a development of arXiv:1912.12897, we note that the ordinary Shiraishi functions have an insufficient number of parameters to describe generic eigenfunctions of double elliptic…
Shiraishi functor and non-Kerov deformation of Macdonald polynomials
H. Awata, H. Kanno, A. Mironov +1
We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function. Moreo…
On complete solution of the quantum Dell system
H. Awata, H. Kanno, A. Mironov +1
The mother functions for the eigenfunctions of the Koroteev-Shakirov version of quantum double-elliptic (Dell) Hamiltonians can be presented as infinite series in Miwa variables, v…