Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On dual description of the deformed $O(N)$ sigma model   We study dual strong coupling description of integrability-preserving
deformation of the $O(N)$ sigma model. Dual theory is described by a coupled
theory of Dirac fermions with four-fermion interaction and bosonic fields with
exponential interactions. We claim that both theories share the same integrable
structure and coincide as quantum field theories. We construct a solution of
Ricci flow equation which behaves in the UV as a free theory perturbed by
graviton operators and show that it coincides with the metric of the
$\eta-$deformed $O(N)$ sigma-model after $T-$duality transformation.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs