Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbed Sachdev-Ye-Kitaev model: a polaron in the hyperbolic plane   We study the SYK$_4$ model with a weak SYK$_2$ term of magnitude $\Gamma$
beyond the simplest perturbative limit considered previously. For intermediate
values of the perturbation strength, $J/N \ll \Gamma \ll J/\sqrt{N}$,
fluctuations of the Schwarzian mode are suppressed, and the SYK$_4$ mean-field
solution remains valid beyond the timescale $t_0 \sim N/J$ up to $t_* \sim
J/\Gamma^2$. Out-of-time-order correlation function displays at short time
intervals exponential growth with maximal Lyapunov exponent $2\pi T$, but its
prefactor scales as $T$ at low temperatures $T \leq \Gamma$.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an