GarbettJL072017D.pdf (672.5 kB)
A Vertex Superalgebra via Spin Factorization Algebras with Point Defects
thesis
posted on 2017-07-11, 00:00 authored by Jennifer Lea GarbettFactorization algebras are one 'approximation'' to physicists' quantum field theories, and spin factorization algebras with point defects are a generalization of factorization algebras which allow us to take spin structures into account. In this thesis, we construct the spin factorization algebra with point defects of quantum observables for a particular free BV theory. Taking cohomology yields a spin prefactorization algebra with point defects. We investigate the structure maps of this cohomology prefactorization algebra and use them to give a geometric description of the free fermion vertex superalgebra and a geometric description of a twisted module over a vertex superalgebra.
History
Date Created
2017-07-11Date Modified
2018-10-08Defense Date
2017-06-30Research Director(s)
Stephan StolzCommittee Members
Katrina Barron Christopher Schommer-Pries Mark BehrensDegree
- Doctor of Philosophy
Degree Level
- Doctoral Dissertation
Program Name
- Mathematics
Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC