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Vertex operator algebras and integrable systems
Descriptive
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Text
TitleInfo
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Title
Vertex operator algebras and integrable systems
Identifier
ETD_1525
Identifier
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http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050498
Language
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eng
Genre
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theses
Subject
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Topic
Physics and Astronomy
Subject
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(authority = ETD-LCSH)
Topic
Vertex operator algebras
Abstract
The 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.
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.
PhysicalDescription
Extent
iii, 17 p.
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Note
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M.S.
Note
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Includes bibliographical references (p. 17)
Note
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by Shr-Jing Chen
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Chen
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Shr-Jing
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Shr-Jing Chen
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Diaconescu
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Duiliu
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chair
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Advisory Committee
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Duiliu Diaconescu
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Lukyanov
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Sergei
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internal member
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Advisory Committee
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Sergei Lukyanov
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Ransome
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Ronald
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internal member
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Advisory Committee
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Ronald Ransome
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Huang
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Yi-Zhi
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outside member
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Advisory Committee
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Yi-Zhi Huang
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Rutgers University
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degree grantor
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Graduate School - New Brunswick
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school
OriginInfo
DateCreated
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2009
DateOther
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2009-01
Place
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xx
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NjNbRU
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Rutgers University Electronic Theses and Dissertations
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ETD
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TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
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rucore19991600001
Identifier
(type = doi)
doi:10.7282/T3VX0GS8
Genre
(authority = ExL-Esploro)
ETD graduate
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The author owns the copyright to this work.
Copyright
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Copyright protected
Availability
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Open
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Non-exclusive ETD license
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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194560
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