# Overview

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#### Conformal field theory and quantum many-body physics

August 22 - September 9, 2022

Conformal Field Theories (CFTs) play a central role in physics and mathematical physics due to the deep consequences of the conformal algebra. They emerge naturally in many-body physics: critical points (both classical and quantum), quantum spin liquids, string theory and AdS/CFT, etc. CFTs have been extensively studied in 2 spacetime dimensions, where the infinite dimensional algebra allows to obtain powerful results. There and in higher dimensions, many interesting results are emerging as a result of perturbative and non-perturbative methods.

These rapidly advancing research directions encompass physicists and mathematical physicists from various backgrounds such as condensed matter, algebra, quantum field theory, string theory, and quantum information.

This concentration period will have some intersection with the part of the month dedicated to the mathematics of conformal field theory (in two dimensions).