Non-Invertible Duality Interfaces in Field Theories with Exotic Symmetries

Andreas Karch, David Tong, and Carl Turner, A Web of 2d Dualities: ℤ 2 \mathbb{Z}_{2} Gauge Fields and Arf Invariants , SciPost Phys. 7, 007

Original

1902

Earlier work this paper cites.

Nathan Seiberg, Field Theories with a Vector Global Symmetry , SciPost Phys. 8, 050

Original

1909

Earlier work this paper cites.

Ryan Thorngren and Yifan Wang, Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases , arxiv:1912.02817 [hep-th]

Original

1912

Earlier work this paper cites.

Wenjie Ji and Xiao-Gang Wen, Categorical symmetry and noninvertible anomaly in symmetry-breaking and topological phase transitions , Phys. Rev. Research 2, 033417

Original

1912

Earlier work this paper cites.

Michael Pretko, Xie Chen, and Yizhi You, Fracton Phases of Matter , Int. J. Mod. Phys. A 35 no. 06

Original

2001

Earlier work this paper cites.

Nathan Seiberg and Shu-Heng Shao, Exotic Symmetries, Duality, and Fractons in 2+1 Dimensional Quantum Field Theory , SciPost Phys. 10, 027

Original

2003

Earlier work this paper cites.

Nathan Seiberg and Shu-Heng Shao, Exotic U ⁡ ( 1 ) U(1) Symmetries, Duality, and Fractons in 3+1 Dimensional Quantum Field Theory , SciPost Phys. 9, 046

Original

2004

Earlier work this paper cites.

Nathan Seiberg and Shu-Heng Shao, Exotic ℤ N \mathbb{Z}_{N} Symmetries, Duality, and Fractons in 3+1 Dimensional Quantum Field Theory , SciPost Phys. 10, 003

Original

2004

Earlier work this paper cites.

Liang Kong, Tian Lian, Xiao-Gang Wen, Zhi-Hao Zhang, and Hao Zheng, Algebraic higher symmetry and categorical symmetry – a holographic and entanglement view of symmetry , Phys. Rev. Research 2, 043086

Original

2005

Earlier work this paper cites.

Pranay Gorantla, Ho Tat Lam, Nathan Seiberg, and Shu-Heng Shao, More Exotic Field Theories in 3+1 Dimensions SciPost Phys. 9, 073

Original

2007

Earlier work this paper cites.

Davide Gaiotto and Justin Kulp, Orbifold Groupoids , J. High Energ. Phys. 02, 132

Original

2008

Earlier work this paper cites.

Kevin Slagle, Foliated Quantum Field Theory of Fracton Order , Phys. Rev. Lett. 126, 101603

Original

2008

Earlier work this paper cites.

Pranay Gorantla, Ho Tat Lam, Nathan Seiberg, and Shu-Heng Shao, FCC, Checkerboards, Fractons, and QFT , Phys. Rev. B 103, 205116

Original

2010

Earlier work this paper cites.

Tom Rudelius, Nathan Seiberg, and Shu-Heng Shao, Fractons with Twisted Boundary Conditions and Their Symmetries , Phys. Rev. B 103, 195113

Original

2012

Earlier work this paper cites.

Anton Kapustin and Nathan Seiberg, Coupling a QFT to a TQFT and Duality , J. High Energ. Phys. 2014,1

Original

2014

Earlier work this paper cites.

Davide Gaiotto, Anton Kapustin, Nathan Seiberg, and Brian Willett, Generalized Global Symmetries , J. High Energ. Phys. 2015, 172

Original

2015

Earlier work this paper cites.

Kevin Slagle and Yong Baek Kim, Quantum Field Theory of X-Cube Fracton Topological Order and Robust Degeneracy from Geometry , Phys. Rev. B 96, 195139

Original

2017

Earlier work this paper cites.

Lakshya Bhardwaj and Yuji Tachikawa, On finite symmetries and their gauging in two dimensions , J. High Energ. Phys. 2018, 189

Original

2018

Earlier work this paper cites.

Wilber Shirley, Kevin Slagle, Zhenghan Wang, and Xie Chen, Fracton Models on General Three-Dimensional Manifolds , Phys. Rev. X 8, 031051

Original

2018

Cited alongside, same era.

Clay Cordova, Thomas T. Dumitrescu, and Kenneth Intriligator, Exploring 2-Group Global Symmetries , J. High Energ. Phys. 2019, 184

Original

2019

Cited alongside, same era.

Francesco Benini, Clay Cordova, and Po-Shen Hsin, On 2-Group Global Symmetries and Their Anomalies , J. High Energ. Phys. 1903, 118

Original

2019

Cited alongside, same era.

Chi-Ming Chang, Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, and Xi Yin, Topological Defect Lines and Renormalization Group Flows in Two Dimensions , J. High Energ. Phys. 2019, 26

Original

2019

Cited alongside, same era.

Rahul M. Nandkishore and Michael Hermele, Fractons , Annual Review of Condensed Matter Physics 10, 295-313

Pranay Gorantla, Ho Tat Lam, and Shu-Heng Shao, Fractons on Graphs and Complexity , Phys. Rev. B. 106, 195139

Original

2022

Later among the works it cites.

John McGreevy, Generalized Symmetries in Condensed Matter , Annual Review of Condensed Matter Physics 14, 57-82

Original

2023

Later among the works it cites.

Konstantinos Roumpedakis, Sahand Seifnashri, and Shu-Heng Shao, Higher Gauging and Non-invertible Condensation Defects , Commun. Math. Phys. 401, 3043-3107

Original

2023

Later among the works it cites.

Yichul Choi, Clay Cordova, Po-Shen Hsin, Ho Tat Lam, and Shu-Heng Shao, Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions , Commun. Math. Phys. 402, 489–542

Original

2023

Later among the works it cites.

Clay Cordova and Kantaro Ohmori, Non-Invertible Chiral Symmetry and Exponential Hierarchies , Phys. Rev. X. 13, 011034