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Permanent link (DOI): https://doi.org/10.7939/R3Z38M

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Topological Recursion and the Supereigenvalue Model Open Access

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Other title
Subject/Keyword
matrix models
topological recursion
supereigenvalue
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Kroll, Jeffrey P
Supervisor and department
Bouchard, Vincent (Mathematics)
Examining committee member and department
Page, Don (Physics)
Gannon, Terry (Mathematics)
Bouchard, Vincent (Mathematics)
Doran, Charles (Mathematics)
Department
Department of Mathematical and Statistical Sciences
Specialization
Mathematical Physics
Date accepted
2012-08-31T15:50:40Z
Graduation date
2012-11
Degree
Master of Science
Degree level
Master's
Abstract
This thesis is interested in the topological recursion first introduced in \cite{CEO} and generalized to algebraic curves in \cite{Eynard:2007,Eynard:2008}. A presentation of the Hermitian matrix model is given and includes a derivation of this topological recursion. The second part introduces a supersymmetric analog of the Hermitian matrix model first derived in \cite{AlvarezGaume:1991} and know as the Supereigenvalue model. The development of the Supereigenvalue model follows in close parallel with the discussion on the Hermitian matrix model and considers the possibility of finding a supersymmetric generalization of the recursion.
Language
English
DOI
doi:10.7939/R3Z38M
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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File title: Topological recursion and supereigenvalue model, M. S. Thesis
File author: Jeffrey Peter Kroll
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