The Gross-Neveu-Yukawa Archipelago

Abstract

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.

arXiv comment51 pages, 8 figures, 3 appendices; v2: small corrections and clarifications to match JHEP version

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• Entanglement Microscopy: Tomography and Entanglement Measures via Quantum Monte Carlo
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• Angle-Tuned Gross-Neveu Quantum Criticality in Twisted Bilayer Graphene: A Quantum Monte Carlo Study
• $SO(8)$ unification and the large-N theory of superconductor-insulator transition of two-dimensional Dirac fermions
• Relativistic Mott transitions and finite-temperature effects of quantum criticality in Dirac semimetals
• Gross-Neveu-Yukawa theory of $\text{SO}(2N)\to \text{SO}(N)\times \text{SO}(N)$ spontaneous symmetry breaking
• The fate of non-supersymmetric Gross-Neveu-Yukawa fixed point in two dimensions
• Gross-Neveu-XY quantum criticality in moiré Dirac materials
• Spontaneous breaking of the $\text{SO}(2N)$ symmetry in the Gross-Neveu model
• Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
• Scale symmetry breaking and generation of mass at quantum critical points
• Fractionalized fermionic multicriticality in anisotropic Kitaev spin-orbital liquids
• Free and Interacting Fermionic Conformal Field Theories on the Fuzzy Sphere
• Gross-Neveu-Yukawa SO(2) and SO(3) tensorial criticality
• Chiral Heisenberg Gross-Neveu-Yukawa criticality: Honeycomb vs. SLAC fermions
• Sparsity in the numerical six-point bootstrap
• Beyond one-loop calculation: Higher-order effects on Gross-Neveu-Yukawa tensorial criticality
• Emergent Supersymmetry at Large $N$
• Beth-Uhlenbeck equation for the thermodynamics of fluctuations in a generalised 2+1D Gross-Neveu model
• Phase transitions on the dark side of the Gross-Neveu model: Spontaneous $\text{O}(4N)$ symmetry breaking at repulsive coupling
• Addressing the Infinite Variance Problem in Fermionic Monte Carlo Simulations: Retrospective Error Remediation and the Exact Bridge Link Method
• Instabilities of a Generalized Gross-Neveu Quantum Criticality
• Conjecture on the lower bound of the length-scale critical exponent $\nu$ at continuous phase transitions
• Moments and saddles of heavy CFT correlators
• Boundary critical behavior of the Gross-Neveu-Yukawa model
• Conformal Bootstrap with Duality-Inspired Fusion Rule