TitleVertex operator algebras and integrable systems
NameChen, Shr-Jing (author), Diaconescu, Duiliu (chair), Lukyanov, Sergei (internal member), Ransome, Ronald (internal member), Huang, Yi-Zhi (outside member), Rutgers University, Graduate School - New Brunswick,
SubjectPhysics and Astronomy,
Vertex operator algebras
DescriptionThe goal of this thesis is to explicitly construct vertex operator algebras and their representations from classical integrable systems. We first construct a module for the corresponding affine Lie algebra of level 0 from the dual space of the space of functions on the solutions space of an integrable system, by applying the formal uniformization theorem of Barron, Huang and Lepowsky. Then we show that this module is in fact a
module for the corresponding vertex operator algebra. We hope that our construction of modules for vertex operator algebras associated to affine Lie algebras will lead us to a better understanding of integrable systems in terms of the representation theory of vertex operator algebras.
NoteIncludes bibliographical references (p. 17)
Noteby Shr-Jing Chen
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
RightsThe author owns the copyright to this work.