Random matrices and black holes: new connections from holographic duality

Abstract: Quantum chaotic systems are often defined via the assertion that their spectral statistics coincides with, or is well approximated by, random matrix theory (RMT). In turn, the late-time ergodic behaviour of chaotic quantum systems is expected to fall into a small number of universality classes of RMT dynamics. Recent developments in holographic duality have made it possible to characterise the ergodic late-time behaviour of black holes in asymptotically anti de Sitter space in similar terms. In this talk I will start by introducing the basic ideas and notions of holographic duality (also known as AdS/CFT), before moving on to these more recent developments, mostly focussing on low-dimensional examples.

mathematical physics

Audience: researchers in the discipline

( video )

One world IAMP mathematical physics seminar

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