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Snowmass White Paper: The Numerical Conformal Bootstrap

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arxiv 2203.08117 v2 pith:Z4IKLX2A submitted 2022-03-15 hep-th cond-mat.stat-mechcond-mat.str-elhep-lat

David Poland , David Simmons-Duffin This is my paper · ORCID
classification hep-thcond-mat.stat-mechcond-mat.str-elhep-lat
keywords bootstrapconformalnumericalbriefgiveoverviewsnowmassstatus
verification ladder T0 review T1 audit T2 compute T3 formal

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We give a brief overview of the status of the numerical conformal bootstrap.

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Cited by 7 Pith papers

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

  1. 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.

  2. Bootstrapping $\mathcal{N} = 4$ sYM correlators using Integrability and Localization

    hep-th 2024-11 conditional novelty 7.0 of 10

    Two-sided bounds on the Konishi OPE coefficient in planar N=4 sYM are derived at finite 't Hooft coupling by adding localization constraints to an integrability-based dispersive bootstrap.

  3. Bootstrapping leading hadronic muon anomaly

    hep-th 2024-11 conditional novelty 7.0 of 10

    Bootstrap constraints plus QCD sum rules give a lower bound on the hadronic muon anomaly and an emergent rho-meson peak.

  4. Bootstrapping 3D Conformal Field Theories with Product Analytic Functionals

    hep-th 2026-08 conditional novelty 6.5 of 10

    A bootstrap method using product analytic functionals gives stronger, faster-converging bounds in three-dimensional conformal field theory, including a new kink near external dimension 4.16.

  5. An Ode to the Penrose and Witten transforms in Twistor space for 3D CFT

    hep-th 2025-05 conditional novelty 6.0 of 10

    The authors show that the infinity twistor must be added to twistor-space invariants to describe general primary operators in 3D CFTs, and they derive the corresponding Penrose, Witten, and super-Penrose transforms.

  6. Analytic bootstrap bounds on masses and spins in gravitational and non-gravitational scalar theories

    hep-th 2024-12 reject novelty 6.0 of 10

    The authors derive 'Sequential Spin and Mass Constraints' for su-symmetric and stu-symmetric four-point amplitudes, claiming any weakly-coupled spectrum must have ordered spins and bounded mass ratios.

  7. Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory

    hep-th 2025-08 unverdicted novelty 2.0 of 10

    Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.

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