Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact results from the geometry of couplings and the effective action   We invent a method that exploits the geometry in the space of couplings and
the known all-loop effective action, in order to calculate the exact in the
couplings anomalous dimensions of composite operators for a wide class of
integrable $\sigma$-models. These involve both self and mutually interacting
current algebra theories. We work out the details for important classes of such
operators. In particular, we consider the operators built solely from an
arbitrary number of currents of the same chirality, the composite operators
which factorize into a chiral and an anti-chiral part, as well as those made up
of three currents of mixed chirality. Remarkably enough, the anomalous
dimensions of the former two sets of operators turn out to vanish. In our
approach, loop computations are completely avoided.

2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys