p-adic vertex operator algebras.

IF 0.6 Q3 MATHEMATICS

Research in Number Theory Pub Date : 2023-01-01 DOI:10.1007/s40993-023-00433-1

Cameron Franc, Geoffrey Mason

引用次数: 2

Abstract

We postulate axioms for a chiral half of a nonarchimedean 2-dimensional bosonic conformal field theory, that is, a vertex operator algebra in which a p-adic Banach space replaces the traditional Hilbert space. We study some consequences of our axioms leading to the construction of various examples, including p-adic commutative Banach rings and p-adic versions of the Virasoro, Heisenberg, and the Moonshine module vertex operator algebras. Serre p-adic modular forms occur naturally in some of these examples as limits of classical 1-point functions.

查看原文本刊更多论文

p进顶点算子代数。

我们假设了非阿基米德二维玻色子共形场理论的手性半部分的公理，即一个用p进巴拿赫空间代替传统希尔伯特空间的顶点算子代数。我们研究了我们的公理的一些结果，这些结果导致了各种例子的构造，包括p进交换Banach环和Virasoro、Heisenberg和Moonshine模顶点算子代数的p进版本。Serre p进模形式作为经典1点函数的极限在这些例子中自然出现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Research in Number Theory MATHEMATICS-

CiteScore

0.80

自引率

12.50%

发文量

期刊介绍： Research in Number Theory is an international, peer-reviewed Hybrid Journal covering the scope of the mathematical disciplines of Number Theory and Arithmetic Geometry. The Mission of the Journal is to publish high-quality original articles that make a significant contribution to these research areas. It will also publish shorter research communications (Letters) covering nascent research in some of the burgeoning areas of number theory research. This journal publishes the highest quality papers in all of the traditional areas of number theory research, and it actively seeks to publish seminal papers in the most emerging and interdisciplinary areas here as well. Research in Number Theory also publishes comprehensive reviews.