2-permutations of lattice vertex operator algebras: Higher rank

TL;DR

This paper investigates the fusion rules of the 2-permutation orbifold of lattice vertex operator algebras using quantum dimension theory, extending understanding in higher rank cases.

Contribution

It provides a general method to determine fusion rules for 2-permutation orbifolds of lattice VOAs of arbitrary rank, advancing the theoretical framework.

Findings

Fusion rules explicitly determined for 2-permutation orbifolds.

Quantum dimension theory effectively applied to orbifold VOAs.

Results applicable to higher rank lattice VOAs.

Abstract

The fusion rules of the 2-permutation orbifold of an arbitrary lattice vertex operator algebra are determined by using the theory of quantum dimension.