Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformed $\sigma$-models, Ricci flow and Toda field theories   It is shown that the Pohlmeyer map of a $\sigma$-model with a toric
two-dimensional target space naturally leads to the `sausage' metric. We then
elaborate the trigonometric deformation of the $\mathrm{CP}^{n-1}$-model,
proving that its $T$-dual metric is K\"ahler and solves the Ricci flow
equation. Finally, we discuss a relation between flag manifold $\sigma$-models
and Toda field theories.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat