[1] Alexei Kitaev, Liang Kong
Models for gapped boundaries and domain walls
https://arxiv.org/abs/1104.5047
[2] L. Kong and X.-G. Wen,
Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions,
https://arxiv.org/abs/1405.5858
[3] D. Fiorenza and A. Valentino,
Boundary conditions for topological quantum field theories, anomalies and projective modular functors,
Commun. Math. Phys. 338, 1043 (2015),
https://arxiv.org/abs/1409.5723
[4] Maissam Barkeshli, Parsa Bonderson, Meng Cheng, Zhenghan Wang
Symmetry Fractionalization, Defects, and Gauging of Topological Phases
https://arxiv.org/abs/1410.4540
[5] D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett,
Generalized global symmetries,
J. High Energ. Phys. 172, (2015);
https://arxiv.org/abs/1412.5148
[6] L. Kong, X.-G. Wen, and H. Zheng,
Boundary-bulk relation for topological orders as the functor mapping higher
categories to their centers,
https://arxiv.org/abs/1502.01690
[7] Meng Cheng, Cenke Xu
A series of (2+1)D Stable Self-Dual Interacting Conformal Field Theories
https://arxiv.org/abs/1609.02560
[8] Tian Lan, Liang Kong, Xiao-Gang Wen
A classification of 3+1D bosonic topological orders (I): the case when point-like excitations are all bosons
https://arxiv.org/abs/1704.04221
[9] L. Kong and H. Zheng,
Gapless edges of 2d topological orders and enriched monoidal categories,
Nucl. Phys. B 927, 140 (2018),
https://arxiv.org/abs/1705.01087
[10] C.-M. Chang, Y.-H. Lin, S.-H. Shao, Y. Wang, and X. Yin,
Topological defect lines and renormalization group flows in two dimensions,
J. High Energ. Phys. 2019 (1), 26,
https://arxiv.org/abs/1802.04445
[11] F. Benini, C. Córdova, and P.-S. Hsin,
On 2-group global symmetries and their anomalies,
J. High Energ. Phys. 2019 (3), 118,
https://arxiv.org/abs/1803.09336
[12] C. Zhu, T. Lan, and X.-G. Wen,
Topological nonlinear σ-model, higher gauge theory, and a systematic con-
struction of 3+1D topological orders for boson systems,
Phys. Rev. B 100, 045105 (2019),
https://arxiv.org/abs/1808.09394
[13] Qing-Rui Wang, Zheng-Cheng Gu
Construction and classification of symmetry protected topological phases in interacting fermion systems
https://arxiv.org/abs/1811.00536
[14] Z. Wan and J. Wang,
Higher anomalies, higher symmetries, and cobordisms I: classification of higher-
symmetry-protected topological states and their boundary fermionic/bosonic anomalies via a generalized cobordism theory,
Annals of Mathematical Sciences and Applications 4, 107 (2019), https://arxiv.org/abs/1812.11967
[15] Ce Shen, Ling-Yan Hung
A Defect Verlinde Formula
https://arxiv.org/abs/1901.08285
[16] R. Thorngren and Y. Wang,
Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases,
J. High Energ. Phys. 2024, 132,
https://arxiv.org/abs/1912.02817
[17] W. Ji and X.-G. Wen,
Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions,
Phys. Rev. Res. 2, 033417 (2020),
https://arxiv.org/abs/1912.13492
[18] T. Lichtman, R. Thorngren, N. H. Lindner, A. Stern, and E. Berg,
Bulk anyons as edge symmetries: Boundary phase diagrams of topologically ordered
states,
Physical Review B 104, 075141 (2021),
https://arxiv.org/abs/2003.04328
[19] L. Kong, T. Lan, X.-G. Wen, Z.-H. Zhang, and H. Zheng,
Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry,
Phys. Rev. Res. 2, 043086 (2020),
https://arxiv.org/abs/2005.14178
[20] Yuting Hu, Yidun Wan
Electric-Magnetic duality in twisted quantum double model of topological orders
https://arxiv.org/abs/2007.15636
[21] D. Gaiotto and J. Kulp,
Orbifold groupoids,
J. High Energ. Phys. 2021 (2), 132,
https://arxiv.org/abs/2008.05960
[22] Yuting Hu, Zichang Huang, Ling-yan Hung, Yidun Wan
Anyon Condensation: Coherent states, Symmetry Enriched Topological Phases, Goldstone Theorem, and Dynamical Rearrangement of Symmetry
https://arxiv.org/abs/2109.06145
[23] Yu-An Chen, Po-Shen Hsin
Exactly Solvable Lattice Hamiltonians and Gravitational Anomalies
https://arxiv.org/abs/2110.14644
[24] Yichul Choi, Clay Cordova, Po-Shen Hsin, Ho Tat Lam, Shu-Heng Shao
Non-Invertible Duality Defects in 3+1 Dimensions
https://arxiv.org/abs/2111.01139
[25] Justin Kaidi, Kantaro Ohmori, Yunqin Zheng
Kramers-Wannier-like duality defects in (3+1)d gauge theories
https://arxiv.org/abs/2111.01141
[26] F. Apruzzi, F. Bonetti, I. Etxebarria, S. Hosseini, and S. Schäfer-Nameki,
Symmetry TFTs from string theory,
Communications in Mathematical Physics 402, 895 (2023),
https://arxiv.org/abs/2112.02092
[27] A. Chatterjee and X.-G. Wen,
Symmetry as a shadow of topological order and a derivation of topological holographic principle,
Phys. Rev. B 107, 155136 (2023),
https://arxiv.org/abs/2203.03596
[28] Jian-Hao Zhang, Shang-Qiang Ning, Yang Qi, Zheng-Cheng Gu
Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems
https://arxiv.org/abs/2204.13558
[29] Zhi-Feng Zhang, Qing-Rui Wang, Peng Ye
Non-Abelian Fusion, Shrinking and Quantum Dimensions of Abelian Gauge Fluxes
https://arxiv.org/abs/2208.09228
[30] Maissam Barkeshli, Yu-An Chen, Po-Shen Hsin, Ryohei Kobayashi
Higher-group symmetry in finite gauge theory and stabilizer codes
https://arxiv.org/abs/2211.11764
[31] Wen-Yuan Liu, Shou-Shu Gong, Wei-Qiang Chen, Zheng-Cheng Gu
Emergent Symmetry in Quantum Phase Transitions: From Deconfined Quantum Critical Point to Gapless Quantum Spin Liquid
https://arxiv.org/abs/2212.00707
[32] Yi-Nan Wang, Yi Zhang
Fermionic Higher-form Symmetries
https://arxiv.org/abs/2303.12633
[33] T. Lan and J.-R. Zhou,
Quantum Current and Holographic Categorical Symmetry
https://arxiv.org/abs/2305.12917
[34] Linhao Li, Masaki Oshikawa, Yunqin Zheng
Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
https://arxiv.org/abs/2307.04788
[35] Ruizhi Liu, Ho Tat Lam, Han Ma, Liujun Zou
Symmetries and anomalies of Kitaev spin-S models: Identifying symmetry-enforced exotic quantum matter
https://arxiv.org/abs/2310.16839
[36] Xing-Yu Ren, Shang-Qiang Ning, Yang Qi, Qing-Rui Wang, Zheng-Cheng Gu
Stacking Group Structure of Fermionic Symmetry-Protected Topological Phases
https://arxiv.org/abs/2310.19058
[37] Gong Cheng, Lin Chen, Zheng-Cheng Gu, Ling-Yan Hung
Precision reconstruction of rational CFT from exact fixed point tensor network
https://arxiv.org/abs/2311.18005
[38] Leonardo A. Lessa, Meng Cheng, Chong Wang
Mixed-state quantum anomaly and multipartite entanglement
https://arxiv.org/abs/2401.17357
[39] Liang Kong, Zhi-Hao Zhang, Jiaheng Zhao, Hao Zheng
Higher condensation theory
https://arxiv.org/abs/2403.07813
[40] Ruochen Ma, Yabo Li, Meng Cheng
Quantum Cellular Automata on Symmetric Subalgebras
https://arxiv.org/abs/2411.19280
[41] Ryohei Kobayashi, Yuyang Li, Hanyu Xue, Po-Shen Hsin, Yu-An Chen
Universal microscopic descriptions for statistics of particles and extended excitations
https://arxiv.org/abs/2412.01886
