Intertwined symmetry and topology in 3 + 1 dimensional gapped quantum phases of matter
Tiwari, Apoorv
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https://hdl.handle.net/2142/101517
Description
Title
Intertwined symmetry and topology in 3 + 1 dimensional gapped quantum phases of matter
Author(s)
Tiwari, Apoorv
Issue Date
2018-07-05
Director of Research (if dissertation) or Advisor (if thesis)
Ryu, Shinsei
Doctoral Committee Chair(s)
Fradkin, Eduardo
Committee Member(s)
Leigh, Robert
Cooper, Lance
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Topological Phases of Matter, Symmetry protected topological phases of Matter, Topological quantum field theory
Abstract
This thesis is an investigation of various topological properties of 3 + 1 dimensional Bosonic gapped phases of matter. We divide our study into two main themes, the first involving short-range entangled phases with global symmetries also known as symmetry protected topological phases and the second involving phases with long range entanglement also known as topologically ordered phases.
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