3 papers
hep-th2025
Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case
Philip C. Argyres, Oleg Chalykh, Yongchao Lü
We consider generalisations of the elliptic Calogero--Moser systems associated to complex crystallographic groups in accordance to [1]. In our previous work [2], we proposed these…
hep-th2024
Classical and quantum curves of 5d Seiberg's theories and their 4d limit
Oleg Chalykh, Yongchao Lü
In this work, we examine the classical and quantum Seiberg-Witten curves of 5d N = 1 SCFTs and their 4d limits. The 5d theories we consider are Seiberg's theories of type $E_{6,7,8…
math.RT2024
DAHAs of Type and Character Varieties
Oleg Chalykh, Bradley Ryan
This paper studies the spherical subalgebra of the double affine Hecke algebra of type and relates it, at the classical level , to a certain character variety o…