维拉索罗顶点算子代数的张量积及其模块的积分形式

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Mathematical Physics Pub Date : 2024-08-15 DOI:10.1063/5.0195338

Hongyan Guo, Hongju Zhao

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引用次数: 0

摘要

本文研究维拉索罗顶点算子代数的张量积⊗i∈IL(cpi,qi,0)⊗ni 及其模块的积分形式。一方面，通过二元线性编码工具，我们证明了张量乘顶点算子代数的积分形式的存在，并给出了包含共形向量的积分形式的构造。我们提出了几个有趣而明确的代码实例。另一方面，我们研究了顶点算子代数⊗i∈IL(cpi,qi,0)⊗ni 上模块的积分形式理论。更确切地说，我们为这些张量乘顶点算子代数构造了模块积分形式和反粒子模块积分形式。我们还得到了⊗i∈IL(cpi,qi,0)⊗ni 模块积分形式之间交织算子的积分性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

In this paper, we study integral forms of the tensor products of Virasoro vertex operator algebras ⊗i∈IL(cpi,qi,0)⊗ni and their modules. On the one hand, with the tool of binary linear codes, we show the existence and give constructions of integral forms of the tensor product vertex operator algebras that contain the conformal vector. Several interesting and explicit examples of codes are presented. On the other hand, we investigate the integral form theory of modules over the vertex operator algebra ⊗i∈IL(cpi,qi,0)⊗ni. More precisely, we construct integral forms of modules and contragredient modules for these tensor product vertex operator algebras. The integrality of intertwining operators among integral forms of ⊗i∈IL(cpi,qi,0)⊗ni-modules are also obtained.

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来源期刊

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

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