Aspects of Symmetry, Topology and Anomalies in Quantum Matter
J. Wang. (2016)cite arxiv:1602.05569Comment: Ph.D. thesis, MIT, Dept. of Physics. Defended and submitted in May 2015. Citable URI: http://dspace.mit.edu/handle/1721.1/99285 Partially based on arxiv:1212.4863, arXiv:1306.3695, arxiv:1307.7480, arXiv:1310.8291, arXiv:1403.5256, arXiv:1404.7854, arXiv:1405.7689, arXiv:1408.6514, arXiv:1409.3216. With refinement. 250 pages.
DOI: 1721.1/99285
Abstract
In this thesis, we explore the aspects of symmetry, topology and anomalies in
quantum matter with entanglement from both condensed matter and high energy
theory viewpoints. The focus of our research is on the gapped many-body quantum
systems including symmetry-protected topological states and topologically
ordered states. Chapter 1. Introduction. Chapter 2. Geometric phase,
wavefunction overlap, spacetime path integral and topological invariants.
Chapter 3. Aspects of Symmetry. Chapter 4. Aspects of Topology. Chapter 5.
Aspects of Anomalies. Chapter 6. Quantum Statistics and Spacetime Surgery.
Chapter 7. Conclusion: Finale and A New View of Emergence-Reductionism. (Thesis
supervisor: Prof. Xiao-Gang Wen)
Description
Aspects of Symmetry, Topology and Anomalies in Quantum Matter
cite arxiv:1602.05569Comment: Ph.D. thesis, MIT, Dept. of Physics. Defended and submitted in May 2015. Citable URI: http://dspace.mit.edu/handle/1721.1/99285 Partially based on arxiv:1212.4863, arXiv:1306.3695, arxiv:1307.7480, arXiv:1310.8291, arXiv:1403.5256, arXiv:1404.7854, arXiv:1405.7689, arXiv:1408.6514, arXiv:1409.3216. With refinement. 250 pages
%0 Journal Article
%1 wang2016aspects
%A Wang, Juven C.
%D 2016
%K anomalies cond-mat qft symmetry topology
%R 1721.1/99285
%T Aspects of Symmetry, Topology and Anomalies in Quantum Matter
%U http://arxiv.org/abs/1602.05569
%X In this thesis, we explore the aspects of symmetry, topology and anomalies in
quantum matter with entanglement from both condensed matter and high energy
theory viewpoints. The focus of our research is on the gapped many-body quantum
systems including symmetry-protected topological states and topologically
ordered states. Chapter 1. Introduction. Chapter 2. Geometric phase,
wavefunction overlap, spacetime path integral and topological invariants.
Chapter 3. Aspects of Symmetry. Chapter 4. Aspects of Topology. Chapter 5.
Aspects of Anomalies. Chapter 6. Quantum Statistics and Spacetime Surgery.
Chapter 7. Conclusion: Finale and A New View of Emergence-Reductionism. (Thesis
supervisor: Prof. Xiao-Gang Wen)
@article{wang2016aspects,
abstract = {In this thesis, we explore the aspects of symmetry, topology and anomalies in
quantum matter with entanglement from both condensed matter and high energy
theory viewpoints. The focus of our research is on the gapped many-body quantum
systems including symmetry-protected topological states and topologically
ordered states. Chapter 1. Introduction. Chapter 2. Geometric phase,
wavefunction overlap, spacetime path integral and topological invariants.
Chapter 3. Aspects of Symmetry. Chapter 4. Aspects of Topology. Chapter 5.
Aspects of Anomalies. Chapter 6. Quantum Statistics and Spacetime Surgery.
Chapter 7. Conclusion: Finale and A New View of Emergence-Reductionism. (Thesis
supervisor: Prof. Xiao-Gang Wen)},
added-at = {2017-05-26T18:35:41.000+0200},
author = {Wang, Juven C.},
biburl = {https://www.bibsonomy.org/bibtex/288e557731513e4093a2f7dd2e7e0659f/vindex10},
description = {Aspects of Symmetry, Topology and Anomalies in Quantum Matter},
doi = {1721.1/99285},
interhash = {e9a3ca16686aa94cc8654224f319d521},
intrahash = {88e557731513e4093a2f7dd2e7e0659f},
keywords = {anomalies cond-mat qft symmetry topology},
note = {cite arxiv:1602.05569Comment: Ph.D. thesis, MIT, Dept. of Physics. Defended and submitted in May 2015. Citable URI: http://dspace.mit.edu/handle/1721.1/99285 Partially based on arxiv:1212.4863, arXiv:1306.3695, arxiv:1307.7480, arXiv:1310.8291, arXiv:1403.5256, arXiv:1404.7854, arXiv:1405.7689, arXiv:1408.6514, arXiv:1409.3216. With refinement. 250 pages},
timestamp = {2017-05-26T18:35:41.000+0200},
title = {Aspects of Symmetry, Topology and Anomalies in Quantum Matter},
url = {http://arxiv.org/abs/1602.05569},
year = 2016
}