VIII International Conference "Models in Quantum Field Theory"

Limit law for eigenvalues of Jacobi Unitary Ensemble and skew Howe duality

Oct 9, 2025, 4:00 PM

30m

Room 1, 1st floor

Session talk Section E: Integrable models, symmetries in QFT and quantum groups Section E: Integrable models, symmetries in QFT and quantum groups

Speaker

Anton Nazarov (SPbSU)

Description

We demonstrate that the limit density of eigenvalues of random matrices from Jacobi Unitary Ensemble (JUE) coincides with the transition probability for the limit shape of random Young diagrams with respect to the measure obtained from skew Howe duality. We discuss conjectural connection of asymptotics of correlation functions in these random ensembles.

Presentation materials

mqft.pdf