# Fuzzy Sphere regularization of 3D CFTs

- Institution: CERN
- Department: TH String Theory Seminar
- Speaker: Yin-Chen He
- Year: 2024
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3005710)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Conformal Field Theory (CFT) represents a class of quantum field theories that have profound applications across various physics domains, from critical phenomena in statistical mechanics to quantum matter, quantum gravity, and string theory. In this talk, I will introduce our recently proposed 'fuzzy (non-commutative) sphere regularization' scheme, a method that addresses and offers a solution to the longstanding need for a non-perturbative approach to 3D CFTs. I will first elucidate its fundamental concepts and then dive into illustrative examples, including the 3D Ising transition, conformal defects, and critical gauge theories. Importantly, I will showcase that this scheme is not only potent—revealing a wealth of universal data on 3D CFTs otherwise inaccessible through existing methods—but also efficient, as the necessary computations can be performed on a laptop within an hour. Our innovative scheme not only heralds a new era for the study of CFTs but also hints at a profound interplay between non-commutative geometry and both CFTs and QFTs at large. .

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## Lectures

1. [Fuzzy Sphere regularization of 3D CFTs](https://invisiblenetwork.ai/learn/cern/3005710/1b5199e13019), 1 h 15 min (CERN's player)