On the uniqueness of the twisted representation in the \(\mathbb{Z}_2\) orbifold construction of a conformal field theory from a lattice

DOI10.1016/0550-3213(95)00486-CzbMath0924.17021arXivhep-th/9507085OpenAlexW2080580847MaRDI QIDQ1901235

P. S. Montague

Publication date: 7 November 1995

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9507085

zbMATH Keywords

\(\mathbb{Z}{}_2\) orbifold constructionconformal lattice field theoryHeisenberg algebra representationsmeromorphic bosonic conformal field theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Intertwiners in orbifold conformal field theories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreducible decompositions of Fock representations of the Virasoro algebra
• The exceptional Jordan algebra and the superstring
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• BRST analysis of physical states for 2D gravity coupled to \(c\leqq{}1\) matter
• Classification of ten-dimensional heterotic strings
• Twisted modules for vertex algebras associated with even lattices
• Modular invariance and discrete torsion on orbifolds
• Meromorphic \(c=24\) conformal field theories
• Third and higher order NFPA twisted constructions of conformal field theories from lattices
• Conformal field theories, representations and lattice constructions
• Calculus of twisted vertex operators
• Orbifold constructions and the classification of self-dual \(c=24\) conformal field theories

This page was built for publication: On the uniqueness of the twisted representation in the \(\mathbb{Z}_2\) orbifold construction of a conformal field theory from a lattice