Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double-Scaling Limit in Principal Chiral Model: a New Non-Critical
  String?   We initiate a systematic, non-perturbative study of the large-$N$ expansion
in the two-dimensional $\text{SU}(N)\times \text{SU}(N)$ Principal Chiral Model
(PCM). Starting with the known infinite-$N$ solution for the ground state at
fixed chemical potential \cite{Fateev:1994dp,Fateev:1994ai}, we devise an
iterative procedure to solve the Bethe ansatz equations order by order in
$1/N$. The first few orders, which we explicitly compute, reveal a systematic
enhancement pattern at strong coupling calling for the near-threshold
resummation of the large-$N$ expansion. The resulting double-scaling limit
bears striking similarities to the $c=1$ non-critical string theory and
suggests that the double-scaled PCM is dual to a non-critical string with a
$(2+1)$-dimensional target space where an additional dimension emerges
dynamically from the $\text{SU}(N)$ Dynkin diagram.

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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int