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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

Ising BCFT from Fuzzy Hemisphere

Mykola Dedushenko This is my paper
classification hep-th cond-mat.stat-mechhep-lat
keywords boundaryconditionsfuzzyisingbcftconformalestimatesextraordinary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 7 Pith papers

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  1. Studying 3D O(N) Surface CFT on the Fuzzy Sphere

    cond-mat.str-el 2026-04 conditional novelty 7.0

    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 conf...

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

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

    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.

  3. 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

    cond-mat.str-el 2026-04 unverdicted novelty 6.0

    Numerical extraction of scaling dimensions and OPE coefficients for 32 primary operators in the O(2) Wilson-Fisher CFT via fuzzy-sphere regularization shows agreement with bootstrap predictions.

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

    hep-th 2025-08 conditional novelty 6.0

    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.

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    cond-mat.str-el 2025-04 unverdicted novelty 6.0

    Numerical study of the Kane-Mele-Hubbard-Rashba model reveals ordinary, special BKT-type, and extraordinary boundary transitions enriched by topological edge states.

  6. 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

    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.

  7. A Fuzzy Sphere Journey in Critical Phenomena

    cond-mat.stat-mech 2026-07 unverdicted novelty 2.0

    A review of the fuzzy sphere regularization scheme for extracting CFT data in 3D critical phenomena with claimed efficiency and cross-field connections.