Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum dimensions and fusion products for irreducible V_Q^s-modules,
  where s is an isometry of Q with s^2=1   Every isometry s of a positive-definite even lattice Q can be lifted to an
automorphism of the lattice vertex algebra V_Q. An important problem in vertex
algebra theory and conformal field theory is to classify the representations of
the s-invariant subalgebra V_Q^s of V_Q, known as an orbifold. In the case when
s is an isometry of Q of order two, we have classified the irreducible modules
of the orbifold vertex algebra V_Q^s and identified them as submodules of
twisted or untwisted V_Q-modules in [Bavalov-Elsinger]. Here we calculate their
quantum dimensions and fusion products. The examples where Q is the orthogonal
direct sum of two copies of the A_2 root lattice and s is the 2-cycle
permutation as well as where Q is the A_n root latice and s is a Dynkin diagram
automorphism are presented in detail.

5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph