Neural networks optimized solely on crossing symmetry reconstruct CFT correlators from minimal input data to few-percent accuracy across generalized free fields, minimal models, Ising, N=4 SYM, and AdS diagrams.
Zhou, Fuzzified : Julia package for numerics on the fuzzy sphere (2025), arXiv:2503.00100 [cond-mat.str-el]
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Adding a cubic two-body interaction to quantum rotors on the fuzzy sphere isolates the cubic CFT critical point, enabling calculation of scaling dimensions for key operators that match existing benchmarks.
Boundary CFT spectra, OPE coefficients, and central charges are extracted for normal and ordinary boundaries of the 3D O(2) and O(3) Wilson-Fisher fixed points via fuzzy-sphere state-operator correspondence, with confirmation of positive extraordinary-log exponent alpha.
Bose-Kondo impurities with spins S=1/2, 1, and 3/2 each flow to distinct stable interacting conformal defects despite sharing the same symmetry and anomaly.
A protocol extracts scaling dimensions of d=3 CFTs from the spectrum of qubit Hamiltonians on polyhedral lattices, achieving few-percent accuracy on the 3D Ising model with 20 qubits.
Proposes and numerically tests a reconstructed Hamiltonian for approximate CFT ground states in any dimension that recovers CFT spectral properties.
A review of the fuzzy sphere regularization scheme for extracting CFT data in 3D critical phenomena with claimed efficiency and cross-field connections.
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Quantum Rotors on the Fuzzy Sphere and the Cubic CFT
Adding a cubic two-body interaction to quantum rotors on the fuzzy sphere isolates the cubic CFT critical point, enabling calculation of scaling dimensions for key operators that match existing benchmarks.
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Studying 3D O(N) Surface CFT on the Fuzzy Sphere
Boundary CFT spectra, OPE coefficients, and central charges are extracted for normal and ordinary boundaries of the 3D O(2) and O(3) Wilson-Fisher fixed points via fuzzy-sphere state-operator correspondence, with confirmation of positive extraordinary-log exponent alpha.