A 3d disordered superconformal fixed point

Abstract

We initiate the study of a three dimensional disordered supersymmetric field theory. Specifically, we consider a $\mathcal{N}=2$ large $N$ Wess-Zumino like model with cubic superpotential involving couplings drawn from a Gaussian random ensemble. Taking inspiration from analyses of lower dimensional SYK like models we demonstrate that the theory flows to a strongly coupled superconformal fixed point in the infra-red. In particular, we obtain leading large $N$ spectral data and operator product coefficients at the critical point. Moreover, the analytic control accorded by the model allows us to compare our results against those derived in the conformal bootstrap program and demonstrate consistency with general expectations.

58 pages, 4 figures. v2: minor improvements

References in corpus (9)

• Towards a derivation of holographic entanglement entropy
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• A Generalization of Sachdev-Ye-Kitaev
• More on Supersymmetric and 2d Analogs of the SYK Model
• Large $N$ theory of critical Fermi surfaces
• $\mathcal{N}=1$ Superconformal Blocks for General Scalar Operators
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Soft modes in $\mathcal{N}=2$ SYK model

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• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Disordered vector models: from higher spins to incipient strings
• A counterexample to the CFT convexity conjecture
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• The onset of quantum chaos in disordered CFTs
• Ringdown in the SYK model