A construction of twisted modules for grading-restricted (super)vertex algebras

：Professor. Yi-Zhi Huang
：2019-05-27 16:30
：实验楼111

       Speaker：Professor. Yi-Zhi Huang

                        Rutgers University

Title:  A construction of twisted modules for grading-restricted (super)vertex algebras

       Time：27 May 2019,16:30

Location：实验楼111

Abstract:  We give a general, direct explicit construction of lower-bounded generalized twisted modules for a grading-restricted vertex (super)algebra associated to an automorphism of the algebra. Even in the case that theautomorphism is of finite order, finding such a construction has been a long-standing problem in the representation theory of vertex operator algebra orbifold conformal field theory. We obtain lower-bounded generalized twisted modules satisfying a universal propertyso that every lower-bounded generalized twisted moduleis a quotient of such a module. We give a linearly independent set of generators of such a universal twisted module thus solve the long-standing problem on the existence of such twisted modules. We also prove the existence of irreducible grading-restricted generalized twisted modules irreducible ordinary twisted modules under some conditions.

   Speaker Introduction：Yi-Zhi Huang, Professor of Mathematics at Rutgers University. Bachelor of Science in Mechanics ( predecessor of the Department of Aeronaitics Astronautics), Department of Mathematics, Fudan University. of Science, Institute of Mathematics, Fudan University. Ph. D. in Mathematics, Rutgers University. Co-Editor-in-Chief, Communications in Contemporary Mathematics. Member of the Editorial Board, New York Journal of Mathematics. Main research interest:  The mathematical theory of quantum field theory it's application in algebra, topology, geometry, condensed matter physics string theory.