Quantum Rotors on the Fuzzy Sphere and the Cubic CFT

arXiv:2604.24840 · cond-mat.str-el, hep-th · Submitted 2026-04-27 · Read on arXiv

cond-mat.str-el, hep-th

Submitted: 2026-04-27

Updated: 2026-09-21

Terminology

• Degeneracy — 9× in this paper · explained in 3 episodes
• Anisotropy — 8× in this paper · explained in 3 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Elias — 1× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Redundancy — 1× in this paper · explained in 2 episodes
• Universality Class — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Bounding scalar operator dimensions in 4D CFT
• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Solving the 3D Ising Model with the Conformal Bootstrap
• Bootstrapping Mixed Correlators in the 3D Ising Model
• Precision Islands in the Ising and $O(N)$ Models
• Bootstrapping the 3d Ising Stress Tensor
• Uncovering conformal symmetry in the $3D$ Ising transition: State-operator correspondence from a fuzzy sphere regularization
• The $\mathrm{SO}(5)$ Deconfined Phase Transition under the Fuzzy Sphere Microscope: Approximate Conformal Symmetry, Pseudo-Criticality, and Operator Spectrum
• A new series of 3D CFTs with $\mathrm{Sp}(N)$ global symmetry on fuzzy sphere
• Simulating the non-unitary Yang-Lee conformal field theory on the fuzzy sphere
• Yang-Lee Quantum Criticality in Various Dimensions
• Flowing from the Ising Model on the Fuzzy Sphere to the 3D Lee-Yang CFT
• Free real scalar CFT on fuzzy sphere: spectrum, algebra and wavefunction ansatz
• Conformal scalar field theory from Ising tricriticality on the fuzzy sphere
• Chern-Simons-matter conformal field theory on fuzzy sphere: Confinement transition of Kalmeyer-Laughlin chiral spin liquid
• Critical Majorana fermion at a topological quantum Hall bilayer transition
• Emergence of 3D Superconformal Ising Criticality on the Fuzzy Sphere
• Generalizing Deconfined Criticality to 3D N-Flavor SU(2) Quantum Chromodynamics on the Fuzzy Sphere
• Conformal Data for the $O(2)$ Wilson-Fisher CFT in $(2+1)$-Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere
• Bootstrapping the O(N) Vector Models

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