Cluster algebras based on vertex operator algebras

被引：1

作者：

Zuevsky, Alexander ^{[1
]}

机构：

[1] Czech Acad Sci, Inst Math, Zitna 25, Prague 11000, Czech Republic

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2016年 / 30卷 / 28-29期

关键词：

Cluster algebras; vertex operator algebras; Riemann surfaces; CONFORMAL FIELD-THEORIES; N-POINT FUNCTIONS; MODULAR INVARIANCE; QUANTIZATION; ENSEMBLES;

D O I：

10.1142/S0217979216400300

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Starting from Zhu recursion formulas for correlation functions for vertex operator algebras with formal parameters associated to local coordinates around marked points on a Riemann surfaces, we introduce a cluster algebra structure over a noncommutative set of variables. Cluster elements and mutation rules are explicitly defined. In particular, we propose an elliptic version of vertex operator cluster algebras arising from correlation functions and Zhu reduction procedure for vertex operators on the torus.

引用

页数：13