Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor models from the viewpoint of matrix models: the case of loop
  models on random surfaces   We study a connection between random tensors and random matrices through
$U(\tau)$ matrix models which generate fully packed, oriented loops on random
surfaces. The latter are found to be in bijection with a set of regular
edge-colored graphs typically found in tensor models. It is shown that the
expansion in the number of loops is organized like the 1/N expansion of
rank-three tensor models. Recent results on tensor models are reviewed and
applied in this context. For example, configurations which maximize the number
of loops are precisely the melonic graphs of tensor models and a scaling limit
which projects onto the melonic sector is found. We also reinterpret the double
scaling limit of tensor models from the point of view of loops on random
surfaces. This approach is eventually generalized to higher-rank tensor models,
which generate loops with fugacity $\tau$ on triangulations in dimension $d-1$.

29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol