Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Off critical current algebras   We discuss the infinite dimensional algebras appearing in integrable
perturbations of conformally invariant theories, with special emphasis in the
structure of the consequent non-abelian infinite dimensional algebra
generalizing $W_\infty$ to the case of a non abelian group. We prove that the
pure left-symmetry as well as the pure right-sector of the thus obtained
algebra coincides with the conformally invariant case. The mixed sector is more
involved, although the general structure seems to be near to be unraveled. We
also find some subalgebras that correspond to Kac-Moody algebras. The
constraints imposed by the algebras are very strong, and in the case of the
massive deformation of a non-abelian fermionic model, the symmetry alone is
enough to fix the 2- and 3-point functions of the theory.

30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics