Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $O(N)$ Random Tensor Models   We define in this paper a class of three indices tensor models, endowed with
$O(N)^{\otimes 3}$ invariance ($N$ being the size of the tensor). This allows
to generate, via the usual QFT perturbative expansion, a class of Feynman
tensor graphs which is strictly larger than the class of Feynman graphs of both
the multi-orientable model (and hence of the colored model) and the $U(N)$
invariant models. We first exhibit the existence of a large $N$ expansion for
such a model with general interactions. We then focus on the quartic model and
we identify the leading and next-to-leading order (NLO) graphs of the large $N$
expansion. Finally, we prove the existence of a critical regime and we compute
the critical exponents, both at leading order and at NLO. This is achieved
through the use of various analytic combinatorics techniques.

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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: econ