Unitary matrix models and random partitions: universality and multi-criticality

DOI10.1007/JHEP07(2021)100zbMATH Open1468.81085arXiv2105.00509MaRDI QIDQ1981483

Author name not available (Why is that?)

Publication date: 3 September 2021

Published in: (Search for Journal in Brave)

Abstract: The generating functions for the gauge theory observables are often represented in terms of the unitary matrix integrals. In this work, the perturbative and non-perturbative aspects of the generic multi-critical unitary matrix models are studied by adopting the integrable operator formalism, and the multi-critical generalization of the Tracy--Widom distribution in the context of random partitions. We obtain the universal results for the multi-critical model in the weak and strong coupling phases. The free energy of the instanton sector in the weak coupling regime, and the genus expansion of the free energy in the strong coupling regime are explicitly computed and the universal multi-critical phase structure of the model is explored. Finally, we apply our results in concrete examples of supersymmetric indices of gauge theories in the large $N$ limit.

Full work available at URL: https://arxiv.org/abs/2105.00509

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Unitary matrix models and random partitions: universality and multi-criticality

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1981483)