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Topological Recursion and the Supereigenvalue Model

  • Author / Creator
    Kroll, Jeffrey P
  • 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.

  • Subjects / Keywords
  • Graduation date
    2012-11
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R3Z38M
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mathematical and Statistical Sciences
  • Specialization
    • Mathematical Physics
  • Supervisor / co-supervisor and their department(s)
    • Bouchard, Vincent (Mathematics)
  • Examining committee members and their departments
    • Gannon, Terry (Mathematics)
    • Bouchard, Vincent (Mathematics)
    • Doran, Charles (Mathematics)
    • Page, Don (Physics)