Date of Award
1-1-2018
Language
English
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
College/School/Department
Department of Mathematics and Statistics
Content Description
1 online resource (ii, xvii, 127 pages) : illustrations.
Dissertation/Thesis Chair
Antun Milas
Committee Members
Christian Lenart, Changlong Zhong
Keywords
Vertex Algebras, Vertex operator algebras, Calculus of tensors, Modules (Algebra)
Subject Categories
Physical Sciences and Mathematics
Abstract
We consider the geometric foundations of certain vertex algebras and their modules according to the formalism of Harish-Chandra Geometry that we develop in conjunction with Formal Geometry. Our main result is that we introduce an extension of the torsor of formal coordinates whereby a sheaf of pro-coherent modules is obtained over an affine scheme that corresponds to a certain vertex algebra. As a corollary of this result, we obtain a similar sheaf of pro-coherent modules corresponding to certain representations of the aforementioned vertex algebra.
Recommended Citation
Corradino, Jesse Richard, "On the geometric interpretation of certain vertex algebras and their modules" (2018). Legacy Theses & Dissertations (2009 - 2024). 2030.
https://scholarsarchive.library.albany.edu/legacy-etd/2030