Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetric SYK Model with Global Symmetry   In this paper, we introduce an $\mathcal{N}=1$ supersymmetric SYK model with
$SO(q)$ global symmetry. We study the large $N$ expansion of the bi-local
collective action of our model. At strong coupling limit, this model exhibits a
super-reparametrization symmetry, and the $SO(q)$ global symmetry is enhanced
to a $\widehat{SO}(q)$ local symmetry. The corresponding symmetry algebra is
the semi-direct product of the super-Virasoro and the super-Kac-Moody algebras.
These emergent symmetries are spontaneously and explicitly broken, which leads
to a low energy effective action: super-Schwarzian action plus an action of a
super-particle on the $SO(q)$ group manifold. We analyze the zero mode
contributions to the chaotic behavior of four point functions in various
$SO(q)$ channels. In singlet channel, we show that the out-of-time-ordered
correlators related to bosonic bi-locals exhibit the saturation of the chaos
bound as in the non-SUSY SYK model. On the other hand, we find that the ones
with fermionic bi-locals in the singlet channel have ${\pi\over\beta}$ Lyapunov
exponent. In the anti-symmetric channel, we demonstrate that the
out-of-time-ordered correlator related to a $SO(q)$ generator grows linearly in
time. We also compute the non-zero mode contributions which give consistent
corrections to the leading Lyapunov exponents from the zero modes.

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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
2
The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci