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Ising BCFT from Fuzzy Hemisphere

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arxiv 2407.15948 v1 pith:AIYDHQFB submitted 2024-07-22 hep-th cond-mat.stat-mechhep-lat

Mykola Dedushenko This is my paper · ORCID
classification hep-thcond-mat.stat-mechhep-lat
keywords boundaryconditionsfuzzyisingbcftconformalestimatesextraordinary
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We extend the recently introduced fuzzy sphere technique for the 3d Ising CFT to the case of boundary CFT (BCFT) using the fuzzy hemisphere. This allows to study conformal boundary conditions, and we investigate the three boundary universality classes of the 3d Ising CFT. These include the ordinary, extraordinary, and special boundary conditions. We identify the qualitative signatures of boundary conformal invariance, and in the cases of ordinary and extraordinary boundary conditions, obtain numerical estimates for the spectrum of low-lying boundary primaries. For the special boundary conditions, we are only able to see their qualitative features, while reliable estimates of the scaling dimensions of boundary primaries are left for the future work.

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chern-Simons-matter conformal field theory on fuzzy sphere: Confinement transition of Kalmeyer-Laughlin chiral spin liquid

    cond-mat.str-el 2025-07 conditional novelty 8.0 of 10

    A fuzzy-sphere exact diagonalization study shows the fIQH to bFQH transition is continuous, with emergent conformal symmetry and a single relevant singlet of scaling dimension Delta_S = 1.52(18).

  2. Conformal scalar field theory from Ising tricriticality on the fuzzy sphere

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    A bilayer quantum Hall fuzzy-sphere model, tuned to an Ising tricritical point, realizes the conformally coupled free scalar CFT, verified by matching spectra, operator content, and bosonic algebra.

  3. Flowing from the Ising Model on the Fuzzy Sphere to the 3D Lee-Yang CFT

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    A fuzzy sphere Ising model with an imaginary longitudinal magnetic field reproduces the spectrum of the 3D Lee-Yang CFT at its critical point.

  4. Surprises in the Ordinary: $O(N)$ Invariant Surface Defect in the $\epsilon$-expansion

    hep-th 2024-11 conditional novelty 7.0 of 10

    The authors compute defect CFT data to third order in the epsilon expansion and discover approximate 'shadow' relations between surface and bulk scaling dimensions.

  5. Fuzzy Spectroscopy of Bound States in Massive Quantum Field Theories

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    Fuzzy geometry (lowest Landau level projection) is shown to be a working nonperturbative regulator for massive QFT bound-state spectroscopy, reproducing E8 meson masses in 1+1D and giving finite-volume 2+1D levels con...

  6. Universal Dynamic Scaling of 2D Quantum Ising Transition on the Fuzzy Sphere

    cond-mat.str-el 2026-07 accept novelty 6.0 of 10

    A fuzzy-sphere simulation of the 2D quantum Ising transition shows Kibble-Zurek scaling of the squared order parameter and correlation function, while the excitation energy fails to scale at current sizes.

  7. Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class

    hep-th 2025-08 conditional novelty 6.0 of 10

    High-truncation eta-minimization bootstrap yields accurate boundary critical amplitudes for the 3d O(N) normal universality class, resolving prior Monte Carlo discrepancies and giving new Ising boundary data.

  8. Free real scalar CFT on fuzzy sphere: spectrum, algebra and wavefunction ansatz

    hep-th 2025-06 conditional novelty 6.0 of 10

    A fuzzy-sphere model is shown numerically to reproduce the spectrum, correlators, and oscillator algebra of the free real scalar CFT, and a wavefunction ansatz reaches high overlap with the Ising CFT ground state.

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    The 3D Ising conformal field theory can be realized on a fuzzy sphere even when electrons partially fill a Landau level and form a fractional quantum Hall state.

  10. The $O(N)$ Free-Scalar and Wilson-Fisher Conformal Field Theories on the Fuzzy Sphere

    cond-mat.str-el 2025-12 conditional novelty 5.0 of 10

    Fuzzy-sphere Hamiltonians realize the O(2), O(3) and O(4) Wilson-Fisher and free-scalar CFTs numerically, with spectra and correlators matching conformal bootstrap expectations.

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