Representations of vertex operator algebra V_L^+ for rank one lattice L

Abstract

We classify the irreducible modules for the fixed point vertex operator subalgebra V_L^+ of the vertex operator algebra V_L associated to a positive definite even lattice of rank 1 under the automorphism lifted from the -1 isometry of L.

Latex2e, 35 pages

Cited by in corpus (12)

• Algebraic orbifold conformal field theories
• Conformal Field Theories with Sporadic Group Symmetry
• Orbifolds of lattice vertex algebras under an isometry of order two
• Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three
• The level two Zhu algebra for the Heisenberg vertex operator algebra
• 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 $1$)
• Orbifolds of Lattice Vertex Algebras
• Twisted restricted conformal blocks of vertex operator algebras I: $g$-twisted correlation functions and fusion rules
• Modular quasi-Hopf algebras and groups with one involution
• Orthosymplectic Feigin-Semikhatov duality
• Finite-dimensional vertex algebra modules over fixed point commutative subalgebras