Fuzzy Sphere Meets Conformal Bootstrap 2025

Collection Fuzzy Sphere Meets Conformal Bootstrap 2025

Organizer(s) Emilie Huffman, Slava Rychkov, Yin-Chen He, Liam Fitzpatrick
Date(s) 02/06/2025 - 06/06/2025
linked URL https://indico.math.cnrs.fr/event/13856
00:00:00 / 00:00:00
6 19

We introduce a general method for investigating O(N) criticality with truncated quantum rotor models, specialising in the O(3) model on a fuzzy sphere. Applying conformal perturbation theory, we locate the critical point, compute scaling dimensions via the state-operator correspondence, and extract operator product expansion (OPE) coefficients from finite-size effects, essentially turning noise into signal. Our investigation reveals a range of new operators, including an O(3) pseudoscalar Lorentz pseudovector, which resolves a long-standing puzzle in the critical exponents of dimerised antiferromagnets. Furthermore, the appearance of the stress-energy tensor and the conserved Noether current in the spectrum validate the presence of conformal symmetry.

Information about the video

  • Date of recording 03/06/2025
  • Date of publication 20/06/2025
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback