Intertwined symmetry and topology in 3 + 1 dimensional gapped quantum phases of matter
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.
Topological Phases of Matter, Symmetry protected topological phases of Matter, Topological quantum field theory
University of Illinois - Urbana-Champaign
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University of Illinois at Urbana-Champaign