Cyclic permutations of lattice vertex operator algebras

TL;DR

This paper classifies irreducible modules of 2-cycle permutation orbifold models of rank 1 lattice vertex operator algebras, determining their quantum dimensions and fusion rules.

Contribution

It provides a complete classification and analysis of modules, quantum dimensions, and fusion rules for these specific orbifold models, advancing understanding in vertex operator algebra theory.

Findings

Classification of irreducible modules achieved

Quantum dimensions of modules determined

Fusion rules explicitly calculated

Abstract

The irreducible modules of the 2-cycle permutation orbifold models of lattice vertex operator algebras of rank 1 are classified, the quantum dimensions of irreducible modules and the fusion rules are determined.