Integral forms for tensor products of Virasoro vertex operator algebras and their modules

DOI10.1063/5.0195338zbMath1545.17011MaRDI QIDQ6597596

Hongyan Guo, Hongju Zhao

Publication date: 3 September 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On integral forms for vertex algebras associated with affine Lie algebras and lattices
• Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Determining fusion rules by \(A(V)\)-modules and bimodules
• Symmetric invariant bilinear forms on vertex operator algebras
• Introduction to vertex operator algebras and their representations
• Modular Virasoro vertex algebras and affine vertex algebras
• Modular moonshine. II
• Virasoro vertex operator algebras, the (nonmeromomorphic) operator product expansion and the tensor product theory
• Integral forms in vertex operator algebras which are invariant under finite groups
• Modular moonshine. III.
• Lattice structure of modular vertex algebras
• Integral forms for tensor powers of the Virasoro vertex operator algebra \(L(\frac{1}{2}, 0)\) and their modules
• Intertwining operators among modules for affine Lie algebra and lattice vertex operator algebras which respect integral forms
• A self-dual integral form of the moonshine module
• Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
• Groups of Lie Type, Vertex Algebras, and Modular Moonshine
• Vertex algebras, Kac-Moody algebras, and the Monster
• Vertex algebras and integral bases for the enveloping algebras of affine Lie algebras
• On axiomatic approaches to vertex operator algebras and modules
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

This page was built for publication: Integral forms for tensor products of Virasoro vertex operator algebras and their modules