On the circle, GMC = CBE
[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 1 August 23, 2021 - August 27, 2021
Location: SLMath: Online/Virtual
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On The Circle, GMC = CBE
In this talk, I would like to advertise the strict equality between two objects from very different areas of mathematical physics:
- Kahane's Gaussian Multiplicative Chaos (GMC), which uses a log-correlated field as input and plays an important role in certain conformal field theories
- A reference model in random matrices called the Circular Beta Ensemble (CBE)
The goal is to give a precise theorem whose loose form is GMC = CBE. Although it was known that random matrices exhibit log-correlated features, such an exact correspondence is quite a surprise.
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On The Circle, GMC = CBE
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