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Boundary and Interface CFTs from the Conformal Bootstrap

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arxiv 1502.07217 v4 pith:YMR2KSIN submitted 2015-02-25 hep-th cond-mat.stat-mechhep-lat

F. Gliozzi , P. Liendo , M. Meineri , A. Rago This is my paper · ORCID
classification hep-thcond-mat.stat-mechhep-lat
keywords spectrumsurfacebootstrapbulkconformalcrossingequationsinterface
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We explore some consequences of the crossing symmetry for defect conformal field theories, focusing on codimension one defects like flat boundaries or interfaces. We study surface transitions of the 3d Ising and other O(N) models through numerical solutions to the crossing equations with the method of determinants. In the extraordinary transition, where the low-lying spectrum of the surface operators is known, we use the bootstrap equations to obtain information on the bulk spectrum of the theory. In the ordinary transition the knowledge of the low-lying bulk spectrum allows to calculate the scale dimension of the relevant surface operator, which compares well with known results of two-loop calculations in 3d. Estimates of various OPE coefficients are also obtained. We also analyze in 4-epsilon dimensions the renormalization group interface between the O(N) model and the free theory and check numerically the results in 3d.

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Cited by 5 Pith papers

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

  1. Transdimensional Defects

    hep-th 2024-11 conditional novelty 8.0 of 10

    Defects of continuously adjustable dimension p=2+δ are defined and analyzed in the O(N) model, yielding new interfaces and non-local 3d CFTs.

  2. 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.

  3. 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.

  4. 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.

  5. String theory methods for defect CFTs

    hep-th 2025-01 conditional novelty 2.0 of 10

    A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.

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