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The five-point bootstrap

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arxiv 2305.08914 v4 pith:5UHEN3BW submitted 2023-05-15 hep-th cond-mat.stat-mechhep-lat

David Poland , Valentina Prilepina , Petar Tadić This is my paper · ORCID
classification hep-thcond-mat.stat-mechhep-lat
keywords five-pointoperatorssigmaconformalcorrelatorcutoffdeltaepsilon
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study five-point correlation functions of scalar operators in d-dimensional conformal field theories. We develop a new approach to computing the five-point conformal blocks for exchanged primary operators of arbitrary spin by introducing a generalization of radial coordinates, using an appropriate ansatz, and perturbatively solving two quadratic Casimir differential equations. We then study five-point correlators $\langle \sigma \sigma \epsilon \sigma \sigma \rangle$ in the critical 3d Ising model. We truncate the operator product expansions (OPEs) in the correlator by including a finite number of primary operators with conformal dimension below a cutoff $\Delta \leqslant \Delta_{\rm cutoff}$. We then compute several OPE coefficients involving $\epsilon$ and two spinning operators by demanding that the truncated correlator approximately satisfies the crossing relation.

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Cited by 4 Pith papers

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

  1. The Bootstrap of Points and Lines

    hep-th 2025-06 accept novelty 8.0 of 10

    A mixed-correlator bootstrap for 2D boundary CFTs produces new rigorous bounds on boundary entropy, bulk-to-boundary OPE coefficients, and gap spectra, tested on Ising and free boson and applied to su(2)_2 WZW.

  2. Bootstrapping the 3d Ising Stress Tensor

    hep-th 2024-11 conditional novelty 8.0 of 10

    The mixed σ, ε, T bootstrap gives Δσ = 0.518148806(24), Δε = 1.41262528(29), and new OPE coefficients for the critical 3d Ising CFT.

  3. Descending into the Modular Bootstrap

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    Numerical search finds candidate modular-invariant spectra with integer degeneracies for 1 < c < 8/7 and hints at a stronger gap bound near c = 1.

  4. 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.

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