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The Gross-Neveu-Yukawa Archipelago

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arxiv 2210.02492 v2 pith:56K5GHI7 submitted 2022-10-05 hep-th cond-mat.stat-mechcond-mat.str-elhep-lat

Rajeev S. Erramilli , Luca V. Iliesiu , Petr Kravchuk , Aike Liu , David Poland , David Simmons-Duffin This is my paper
classification hep-thcond-mat.stat-mechcond-mat.str-elhep-lat
keywords boundsgross-neveu-yukawaresultsanalysisanalyticalapplicationsarchipelagobootstrap
verification ladder T0 review T1 audit T2 compute T3 formal
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We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results.

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Cited by 6 Pith papers

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

  1. Understanding Anomalous Magnetothermal Transport via Disentangling Shear and Compression Phonons

    cond-mat.str-el 2026-03 unverdicted novelty 7.0 of 10

    Mode-selective spin-phonon coupling of shear versus compression phonons produces a peak-dip-peak magnetothermal heat current in spin-orbit-coupled Mott insulators.

  2. Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops

    hep-th 2025-07 conditional novelty 7.0 of 10

    First five-loop renormalization group functions for the O(N) Gross-Neveu-Yukawa model, yielding refined, resummed critical exponent estimates for N=1, 2, and 5.

  3. Redundancy Channels in the Conformal Bootstrap

    hep-th 2025-07 conditional novelty 7.0 of 10

    Redundant operators motivate spectral gaps that block accidental symmetry enhancement, yielding the first bootstrap island for the 3D cubic CFT that excludes the O(3) model.

  4. Quantum critical fan and emergent relativistic symmetry of two-dimensional Dirac semimetals

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

    A functional-RG calculation maps the chiral Ising Gross-Neveu-Yukawa phase diagram, confirming emergent relativistic symmetry at the quantum critical point and 2D Ising behavior at the finite-temperature transition.

  5. Spontaneous Space-Time Parity Breaking Without Thermal Restoration

    hep-th 2025-07 conditional novelty 6.0 of 10

    A 2+1 dimensional QFT is constructed whose parity symmetry is unbroken at zero temperature but spontaneously breaks at all sufficiently high temperatures.

  6. Bootstrapping the Simplest Deconfined Quantum Critical Point

    hep-th 2025-07 conditional novelty 6.0 of 10

    Conformal bootstrap bounds for U(1)-charged scalars in 3d are saturated by the CP^2 model's large-N and lattice predictions, suggesting the CP^2 deconfined quantum critical point is a conformal field theory.

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