$\mathcal{N}=2$ SYK model in the superspace formalism

Abstract

We use superspace methods to study an SYK-like model with $\mathcal{N}=2$ supersymmetry in one dimension, and an analog of this model in two dimensions. We find the four-point function as an expansion in the basis of eigenfunctions of the Casimir of $su(1,1|1)$. We also find retarded kernels and Lyapunov exponents for both cases.

arXiv comment42 pages

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• Boundary theories for dilaton supergravity in 2D
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• On Melonic Supertensor Models
• A 3d disordered superconformal fixed point
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• Disordered vector models: from higher spins to incipient strings
• Chiral Algebras of Two-Dimensional SYK Models
• Soft modes in $\mathcal{N}=2$ SYK model
• Onset of Quantum Chaos in Random Field Theories
• The $\mathcal{N}=2$ Supersymmetric $w_{1+\infty }$ Symmetry in the Two-Dimensional SYK Models
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• The onset of quantum chaos in disordered CFTs
• Supersymmetric Landau-Ginzburg Tensor Models
• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• Disordered $\mathcal{N}=(2,2)$ Supersymmetric Field Theories
• KdV conformal symmetry breaking in nearly AdS${}_2$
• Off-diagonal coupling of supersymmetric SYK model