Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of Modular Branching Functions from Bethe's Equations in
  the 3-State Potts Chain   We use the single particle excitation energies and the completeness rules of
the 3-state anti-ferromagnetic Potts chain, which have been obtained from
Bethe's equation, to compute the modular invariant partition function. This
provides a fermionic construction for the branching functions of the $D_4$
representation of $Z_4$ parafermions which complements the previous bosonic
constructions. It is found that there are oscillations in some of the
correlations and a new connection with the field theory of the Lee-Yang edge is
presented.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat