3 papers
hep-th2026
Correlators in the theory of Integral Discriminants
A. Morozov, Sh. Shakirov
Integral discriminants provide a simple and fundamental model for non-Gaussian integrals, associated with homogeneous polynomials of degree r in n variables. We argue that, in this…
hep-th2025
5D AGT conjecture for circular quivers
A. Mironov, A. Morozov, Sh. Shakirov
The best way to represent generic conformal blocks is provided by the free-field formalism, where they acquire a form of multiple Dotsenko-Fateev-like integrals of the screening op…
math.RT2025
Cauchy identities for genus 2 Schur polynomials
S. Arthamonov, Sh. Shakirov, W. Yan
Genus 2 Macdonald polynomials generalize ordinary Macdonald polynomials in several aspects. First, they provide common eigenfunctions for commuting diffe…