Type
Text
Type
Dissertation
Advisor
van Nieuwenhuizen, Peter | Rastelli, Leonardo | McGrew, Clark | Rocek, Martin | Takhtajan, Leon.
Date
2015-12-01
Keywords
Physics
Department
Department of Physics.
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/11401/76721
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
In this dissertation we perform exact, non-perturbative computations in supersymmetric and superconformal quantum field theories. In the first part, we show that the conformal bootstrap equations, which implement the requirement that in a conformal quantum field theory any four-point function should be crossing symmetric, have an exactly solvable truncation in theories with extended supersymmetry. As a result, we introduce a new 4d/2d correspondence that assigns to any four-dimensional N =2 superconformal quantum field theory, Lagrangian or non-Lagrangian, a two-dimensional chiral algebra, and subsequently explore its structure in the context of theories of class S. In the second part, we extend the application of the so-called Higgs branch localization technique to evaluate exactly the path integral of Lagrangian supersymmetric quantum field theories, placed on compact three- and four-dimensional Euclidean manifolds. | 344 pages
Recommended Citation
Peelaers, Wolfger, "Exact Results in Supersymmetric and Superconformal Quantum Field Theories" (2015). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2602.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2602