Rationality of vertex operator algebra V_L^+: higher rank

Abstract

The lattice vertex operator V_L associated to a positive definite even lattice L has an automorphism of order 2 lifted from -1 isometry of L. It is established that the fixed point vertex operator algebra V_L^+ is rational.

33 pages, add two references

Cited by in corpus (5)

• Z-graded weak modules and regularity
• Orbifolds of lattice vertex algebras under an isometry of order two
• Representations of the orbifold VOAS $L_{\widehat{{\mathfrak{sl}}_2}}(k,0{)}^K$ and the commutant VOAS $C_{{L_{\widehat{{\mathfrak{so}}_m}}(1,0)}^{\otimes 3}}(L_{\widehat{{\mathfrak{so}}_m}}(3,0))$
• The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order $2$ (Part $1$)
• The classification of vertex operator algebras of OZ-type generated by Ising vectors of $\sigma$-type