Algebraic constraints for the elliptic hermitian matrix model and supereigenvalue models


报告题目Algebraic constraints for the elliptic hermitian matrix model and supereigenvalue models

报告专家:王蕊 (中国矿业大学 (北京))

报告时间:2023年5月27日(星期六)9:00-10:00

报告地点:腾讯会议:444 612 900(无密码)


报告摘要:

Virasoro constraints are well known for the matrix models. There also exist larger algebraic constraints for some specific models. In this talk, we will focus on two types of models, i.e., the elliptic hermitian matrix model and supereigenvalue models and discuss their algebraic constraints. We construct the generalized q-W∞ constraints for the elliptic hermitian matrix model, and show that the constraint operators yield the closed n-algebra after carrying out their actions on the partition function. For the Gaussian supereigenvalue models, we extend the super Virasoro constraints and further give their W-representations.


专家简介:

王蕊,中国矿业大学(北京)理学院教师。2019年博士毕业于首都师范大学,后在中国科学院数学与系统科学研究院做博士后。主要研究无穷维n-代数在数学物理中的应用,包括矩阵模型中代数对称性的构造、关联子的计算等。相关论文发表在JHEP, Phys. Lett. B, Eur. Phys. J. C等杂志上。

邀请人:李世豪

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