Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algebraic origin for quark confinement   Recently, a principle for state confinement has been proposed in a category
theoretic framework and to accomodate this result the notion of a pre-monoidal
category was developed. Here we describe an algebraic approach for the
construction of such categories. We introduce a procedure called twining which
breaks the quasi-bialgebra structure of the universal enveloping algebras of
semi-simple Lie algebras and renders the category of finite-dimensional modules
pre-monoidal. The category is also symmetric, meaning that each object of the
category provides representations of the symmetric groups, which allows for a
generalised boson-fermion statistic to be defined. Exclusion and confinement
principles for systems of indistinguishable particles are formulated as an
invariance with respect to the symmetric group actions. We apply the
construction to several examples and in particular show that the symmetries
which can be associated to colour, spin and flavour degrees of freedom of
quarks do lead naturally to confinement of states.

22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph