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

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arxiv 1801.09006 v2 pith:L5LHY53A submitted 2018-01-26 hep-th

classification hep-th
keywords modelfindmathcalsuperspaceanalogbasiscasescasimir
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. $E$ and $J$ type $\mathcal{N}=(0,2)$ disordered models and higher-spin symmetry

    hep-th 2026-01 conditional novelty 6.0 of 10

    The E-type N=(0,2) disordered model is dynamically equivalent to the J-type model in the IR, inheriting its emergent higher-spin symmetry.

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