Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$

Abstract

We show that a variant of the Gross-Neveu Yukawa model with disorder provides a real, nonsupersymmetric generalization of the Sachdev-Ye Kitaev (SYK) model to three dimensions. The model contains $M$ real scalar fields and $N$ Dirac (or Majorana) fermions, interacting via a Yukawa interaction with a local Gaussian random coupling in three dimensions. In the limit where $M$ and $N$ are both large, and the ratio $M/N$ is held fixed, the model defines a line of infrared fixed points parametrized by $M/N$, reducing to the Gross-Neveu vector model when $M/N=0$. When $M/N$ is nonzero, the model is dominated by melonic diagrams and gives rise to SYK-like physics. We compute the spectrum of single-trace operators in the theory, and find that it is real for all values of $M/N$.

34 pages, 14 figures (including appendices), v2: version accepted in Physical Review D

References in corpus (22)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• A Generalization of Sachdev-Ye-Kitaev
• Comments on operators with large spin
• Random tensor models in the large N limit: Uncoloring the colored tensor models
• More on Supersymmetric and 2d Analogs of the SYK Model
• Conformal Bootstrap in Mellin Space
• Large $N$ theory of critical Fermi surfaces
• Three Dimensional View of the SYK/AdS Duality
• Bosonic Tensor Models at Large $N$ and Small $\epsilon$
• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• Four loop renormalization of the Gross-Neveu model
• Symmetry Breaking in Coupled SYK or Tensor Models
• Quantum Phase Transition in the Yukawa-SYK Model
• Line of fixed points in a bosonic tensor model
• Dirac Fast Scramblers
• Spontaneous Breaking of $U(1)$ Symmetry in Coupled Complex SYK Models
• Four loop MSbar mass anomalous dimension in the Gross-Neveu model
• A 3d disordered superconformal fixed point
• Disordered vector models: from higher spins to incipient strings
• Sign-Problem-Free Variant of Complex Sachdev-Ye-Kitaev Model

Cited by in corpus (5)

• CFTs with $U(m)\times U(n)$ Global Symmetry in 3D and the Chiral Phase Transition of QCD
• Grassmann-odd three-point functions of conserved supercurrents in 3D $\mathcal{N}=1$ SCFT
• Scale symmetry breaking and generation of mass at quantum critical points
• Disordered $\mathcal{N}=(2,2)$ Supersymmetric Field Theories
• Emergent Supersymmetry at Large $N$