Advancing Fuzzy-Sphere CFTs: SO(3) -Rotation-Resolving Exact Diagonalization, 3D Ising Heavy Primaries, and Quasi-Hole-Space Projection

arXiv:2609.35960 · cond-mat.str-el, cond-mat.mes-hall, cond-mat.stat-mech, hep-th · Submitted 2026-09-28 · Read on arXiv

cond-mat.str-el, cond-mat.mes-hall, cond-mat.stat-mech, hep-th

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Hilbert Space — 51× in this paper · explained in 2 episodes
• Regularization — 8× in this paper · explained in 3 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Phase Transitions — 5× in this paper · explained in 2 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Conservation Laws — 2× in this paper · explained in 3 episodes
• Core — 2× in this paper · explained in 2 episodes
• Anyons — 1× in this paper · explained in 2 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Computational overhead — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Elias — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Universality Class — 1× in this paper · explained in 2 episodes

Sources

• The Large N Limit of Superconformal Field Theories and Supergravity
• Applied Conformal Field Theory
• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• New Developments in the Numerical Conformal Bootstrap
• Two- and three-point functions at criticality: Monte Carlo simulations of the improved three-dimensional Blume-Capel model
• Pushing the Limits of Monte Carlo Simulations for the 3d Ising Model
• Restoring isotropy in a three-dimensional lattice model: The Ising universality class
• EFT meets CFT: Multiloop renormalization of higher-dimensional operators in general $\phi^4$ theories
• Seven- and eight-loop critical exponents of the three-dimensional Ising model
• The critical O(N) CFT: Methods and conformal data
• Uncovering conformal symmetry in the $3D$ Ising transition: State-operator correspondence from a fuzzy sphere regularization
• A Fuzzy Sphere Journey in Critical Phenomena
• Half-filled Landau levels: a continuum and sign-free regularization for 3D quantum critical points
• Operator Product Expansion Coefficients of the 3D Ising Criticality via Quantum Fuzzy Sphere
• Improving 3d Ising OPE Coefficients with Fuzzy Sphere Conformal Generators
• Conformal four-point correlators of the 3D Ising transition via the quantum fuzzy sphere
• Entropic $F$-function of 3D Ising conformal field theory via the fuzzy sphere regularization
• Constructing the Infrared Conformal Generators on the Fuzzy Sphere
• Note on explicit construction of conformal generators on the fuzzy sphere
• Exact Diagonalization, Matrix Product States and Conformal Perturbation Theory Study of a 3D Ising Fuzzy Sphere Model

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