Classical group matrix models and universal criticality

DOI10.1007/JHEP09(2022)163MaRDI QIDQ2682195

Yanyan Li

Publication date: 31 January 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.01236

zbMATH Keywords

matrix models\(1/N\) expansion

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Universal edge scaling in random partitions
• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• On random matrices from the compact classical groups
• A Fredholm determinant formula for Toeplitz determinants
• Unitary matrix models and random partitions: universality and multi-criticality
• Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories
• Regularization of one-matrix models
• Instantons and Large N
• Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy
• Breakdown of universality in multi-cut matrix models
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• Order analogues of Tracy–Widom distributions via the Lax method
• Fredholm Determinant Solutions of the Painlevé II Hierarchy and Gap Probabilities of Determinantal Point Processes
• Matrix models for classical groups and Toeplitz ± Hankel minors with applications to Chern–Simons theory and fermionic models
• Infinite wedge and random partitions
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