Type
Text
Type
Dissertation
Advisor
Takhtajan, Leon | Grushevsky, Samuel | Varolin, Dror | Rocek, Martin.
Date
2012-08-01
Keywords
Mathematics | elliptic functions, instanton, partition function, torus
Department
Department of Mathematics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/71452
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
The partition function for the free theory of CP1-valued fields on a flat two-dimensional torus is studied. The partition function localizes to an infinite series of finite-dimensional integrals over the spaces of holomorphic and anti-holomorphic functions of fixed topological degree. The partition function measure on each of these spaces is computed explicitly, with respect to coordinates given by the zeroes and poles of the maps. Finally, the convergence properties of each of the integrals is discussed. | 89 pages
Recommended Citation
Walsh, Joseph William, "On the Partition Function for CP1-Instantons on a Flat Torus" (2012). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 658.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/658