Topological phases protected by reflection symmetry and cross-cap states

Keywords

Symmetry (geometry), Reflection (computer programming), Topology (electrical circuits), Physics, Theoretical physics

References

• String theory.Brian Greene, David R. Morrison, Joseph Polchinski — 1998
• Mirror SymmetryEric Zaslow, Ravi Vakil, Kentaro Hori — 2003
• Mirror SymmetryKentaro Hori, Cumrun Vafa — 2000
• Partition Functions and Stability Criteria of Topological InsulatorsAndrea Cappelli, Enrico Randellini — 2016

Cited by

• Classification of topological quantum matter with symmetriesChing‐Kai Chiu, Jeffrey C. Y. Teo, Andreas P. Schnyder — 2015
• Quantization of topological invariants under symmetry-breaking disorderJuntao Song, Emil Prodan — 2015
• Topological phases on non-orientable surfaces: twisting by parity symmetryAtMa P. O. Chan, Jeffrey C. Y. Teo, Shinsei Ryu — 2015
• Flux-Fusion Anomaly Test and Bosonic Topological Crystalline InsulatorsMichael Hermele, Xie Chen — 2015
• Topological Phases Protected by Point Group SymmetryHao Song, Sheng-Jie Huang, Liang Fu — 2016
• Relationship between symmetry protected topological phases and boundary conformal field theories via the entanglement spectrumGil Young Cho, Ken Shiozaki, Shinsei Ryu — 2016
• Derivation of the Time-Reversal Anomaly for (2+1)-Dimensional Topological Phases.Yuji Tachikawa, Kazuya Yonekura — 2017
• Gauging spatial symmetries and the classification of topological crystalline phasesRyan Thorngren, Dominic V. Else — 2016
• Minimalist approach to the classification of symmetry protected topological phasesCharles Zhaoxi Xiong — 2016
• Surface field theories of point group symmetry protected topological phasesSheng-Jie Huang, Michael Hermele — 2017
• Microscopic Theory of Surface Topological Order for Topological Crystalline Superconductors.Meng Cheng — 2017
• Organizing symmetry-protected topological phases by layering and symmetry reduction: A minimalist perspectiveCharles Zhaoxi Xiong, A. Alexandradinata — 2017
• Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetriesKen Shiozaki, Hassan Shapourian, Kiyonori Gomi — 2017
• C − P − T anomaly matching in bosonic quantum field theory and spin chainsTin Sulejmanpašić, Yuya Tanizaki — 2018
• Higher-order symmetry-protected topological states for interacting bosons and fermionsYizhi You, Trithep Devakul, F. J. Burnell — 2018
• Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomenaKen Shiozaki, Charles Zhaoxi Xiong, Kiyonori Gomi — 2018
• Boundary and defect CFT: open problems and applicationsNatan Andrei, Agnese Bissi, Matthew Buican — 2018
• Crystalline topological phases as defect networksDominic V. Else, Ryan Thorngren — 2018
• Classification of crystalline topological insulators and superconductors with point group symmetriesEyal Cornfeld, Adam Chapman — 2018
• Comments on the left-right entanglement entropy for crosscap states in Rational Conformal Field TheoryHugo García‐Compeán, Norma Quiroz — 2018

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• Tendency Towards Symmetry in Fundamental Physical StructuresLancelot Law Whyte — 1949
• Symmetry: the search for order in NatureF. Iachello — 2004