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Ryu, Shinsei Fradkin, Eduardo Leigh, Robert Cooper, Lance Tiwari, Apoorv 2018-09-27T16:17:35Z 2018-09-27T16:17:35Z 2018-07-05 2018-08 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. Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-09-27 without embargo terms The student, Apoorv Tiwari, accepted the attached license on 2018-06-30 at 23:21. The student, Apoorv Tiwari, submitted this Dissertation for approval on 2018-06-30 at 23:28. This Dissertation was approved for publication on 2018-07-05 at 17:08. DSpace SAF Submission Ingestion Package generated from Vireo submission #12699 on 2018-09-27 at 10:46:19 Made available in DSpace on 2018-09-27T16:17:35Z (GMT). No. of bitstreams: 3 TIWARI-DISSERTATION-2018.pdf: 2294010 bytes, checksum: 6bda694bfa933564843d2df294f381a0 (MD5) LICENSE.txt: 4210 bytes, checksum: 9e482c237b4422c8fb2421676e690d88 (MD5) PROQUEST_LICENSE.txt: 4556 bytes, checksum: d21bff35149ebe5cd418f89acba354ac (MD5) Previous issue date: 2018-07-05 application/pdf http://hdl.handle.net/2142/101517 en Copyright 2018 Apoorv Tiwari Topological Phases of Matter, Symmetry protected topological phases of Matter, Topological quantum field theory Intertwined symmetry and topology in 3 + 1 dimensional gapped quantum phases of matter text text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.