Aspects of Topological Sigma Models

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Guffin, Joshua

Contributors dc:contributor

• Robert Leigh

• Physics, Theory

Language dc:language

eng

Identifier

(MiAaPQ)AAI3314781

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/80568