Appears in collection : Fuzzy Sphere Meets Conformal Bootstrap 2025

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.