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
18 19

The deconfined quantum critical point (DQCP) exemplifies a phase transition beyond the Landau paradigm, yet its true nature remains debated. We investigate a generalisation of the SO(5) non-linear sigma model with a Wess-Zumino-Witten term—a possible effective description of the DQCP—using the recently proposed fuzzy sphere regularization. This method offers a powerful lens to probe the model’s critical behavior. Employing quantum Monte Carlo simulations of the generalized Sp(N)-symmetric model, we find evidence of conformal symmetry for N ≥ 4 . For N = 2, corresponding to SO(5), our results indicate spontaneous symmetry breaking, consistent with a pseudo-critical regime identified in earlier studies.

Information about the video

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

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