Fermion-Boson Dualities in 2+1 Dimensions and Higher

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Fermion-Boson Dualities in 2+1 Dimensions and Higher

Type: Master thesis
Title: Fermion-Boson Dualities in 2+1 Dimensions and Higher
Author: Rocha, Henrique Bergallo
Issue Date: 2018-08-28
Keywords: quantum field theory
topology
duality
bosonization
condensed matter
high energy physics
chern-simons
phase transition
Abstract: An overview of Quantum Field Theory dualities is given, highlighting the tools physicists have been using to derive them and the importance of symmetries in searching for such dualities. Most duality derivations take place in 2+1d where one may use flux attachment to realise dualities between fermionic and bosonic theories. The phase transition method for finding dualities is then discussed in 2+1d and 3+1d, and a novel derivation of the Montonen-Olive duality is given using this method.
Supervisor: Schalm, Koenraad
Faculty: Faculty of Science
Department: Physics (Master)
Specialisation: Theoretical Physics
ECTS Credits: 4
Handle: http://hdl.handle.net/1887/64693
 

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