Twisted Heisenberg-Virasoro vertex operator algebra

2016/12/21 by Hongyan Guo, Qing Wang, Guo, Hongyan +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1612.06991

39 pages

arxiv created 2016/12/21 · openalex publication_date 2016/12/21 · arxiv updated 2016/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study a new kind of vertex operator algebra related to the twisted Heisenberg-Virasoro algebra, which we call the twisted Heisenberg-Virasoro vertex operator algebra, and its modules. Specifically, we present some results concerning the relationship between the restricted module categories of twisted Heisenberg-Virasoro algebras of rank one and rank two and several different kinds of module categories of their corresponding vertex algebras. We also study fully the structures of the twisted Heisenberg-Virasoro vertex operator algebra, give a characterization of it as a tensor product of two well-known vertex operator algebras, and solve the commutant problem.

Related

• Automorphism group and twisted modules of the twisted Heisenberg-Virasoro vertex operator algebra
• Virasoro vertex operator algebras, the (nonmeromorphic) operator product expansion and the tensor product theory
• Simple restricted modules over the Heisenberg-Virasoro algebra as VOA modules
• Vertex operator algebras associated to modified regular representations of the Virasoro algebra
• Introduction to vertex operator algebras I