Unitary Integrals and Related Matrix Models

Understand

Concise review of the basic properties of unitary matrix integrals.

• They are studied with the help of the three matrix models: the ordinary unitary model, Brezin-Gross-Witten model and the Harish-Charndra-Itzykson-Zuber model.
• Especial attention is paid to the tricky sides of the story, from De Wit-t'Hooft anomaly in unitary integrals to the problem of correlators with Itzykson-Zuber measure.
• Of technical tools emphasized is the method of character expansions.