Studies of superconformal field theories using GLSM and conformal bootstrap
Name
922937420-MIT.pdf
Description
Full printable version
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16.45 MB
Format
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Checksum (MD5)
45f0301fc1997d4a3438000852597397
Author(s)
Lee, Jaehoon, Ph. D. Massachusetts Institute of Technology
Advisor(s)
Allan Wilfred Adams, III.
Alternative Title
Studies of superconformal field theories using gauged linear sigma models and conformal bootstrap
Date Issued
2015
Publisher
Massachusetts Institute of Technology
Abstract
In this thesis, we study strongly interacting superconformal field theories in two and three dimensions. In two dimensions, we investigate N = (0, 2) gauge theories using the gauged linear sigma models (GLSM). In those theories, we identify simple mechanism by which worldsheet description of H-flux satisfying Green-Schwarz Bianchi identity arises. Under the renormalization group flow, we argue that these models flow into superconformal fixed points describing string theory compactifications backgrounds with non-trivial H-flux turned on. By analyzing quantum-consistency of effective theories with such mechanism, we identify conditions under which these theories to become interacting superconformal field theories in the infrared. In three dimensions, we study maximally supersymmetric (N = 8) conformal field theories by conformal bootstrap approach. We focus on studying the four-point function of stress-tensor multiplet. The superconformal blocks for the four-point function are computed by analyzing superconformal Ward identity. Using these blocks, we study crossing symmetry constraints both numerically and analytically. Doing so, we obtain universal bounds and exact relations of N = 8 superconformal field theory data.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2015.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 273-288).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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