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https://hdl.handle.net/2142/80568
Description
Title
Aspects of Topological Sigma Models
Author(s)
Guffin, Joshua
Issue Date
2008
Doctoral Committee Chair(s)
Robert Leigh
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Theory
Language
eng
Abstract
The main results summarized in this thesis are contained in part two. We describe an algorithm to compute correlation functions in the topological subsector of certain N = (0, 2) nonlinear sigma models1 is. Additionally, A-twisted Landau-Ginzburg models---twisted nonlinear sigma models with superpotentials---are analyzed and related via renormalization group flow to correlation functions in topological conformal field theories. In particular, the methods may well shed light on the somewhat mysterious origin of operators corresponding to non-toric Kahler deformations---operators that arise in topological nonlinear sigma models comprising the IR limit of gauged linear sigma models. We also provide an application of the A-twisted Landau-Ginzburg model to the understanding of A models with supermanifold target spaces.
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