Mathematical Physics

[1] The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu Christopher Ryba

Category Theory Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.04005

2020.7
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[2] Quantized Graphs and Quantum Error Correction

Zhengwei Liu au Mathematical Science Center and Department of Mathematics, Tsinghua University, Beijing 100084, China

Mathematical Physics Quantum Algebra arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22008

2019.10
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[3] Yang-Baxter relation planar algebras

Zhengwei Liu Harvard University, Cambridge, MA 02138

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22007

2016.4
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[4] Antisymmetric characters and Fourier duality

Zhengwei Liu Harvard University, Cambridge, USA Jinsong Wu IASM, Harbin Institute of Technology and Harvard University, Harbin, China

Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.22006

Communications in Mathematical Physics, 384, 77-108, 2021.4
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[5] A Mathematical Picture Language Project

Arthur Jaffe Harvard University, Cambridge, MA 02138, USA Zhengwei Liu Tsinghua University, Beijing, China

Mathematical Physics mathscidoc:2207.22005

2020.6
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[6] Reflection Positivity and Levin-Wen Models

Arthur Jaffe Harvard University, Cambridge, MA 02138, United States of America Zhengwei Liu Harvard University, Cambridge, MA 02138, United States of America

Mathematical Physics arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22004

Expositiones Mathematicae, 38, (2), 202-216, 2020.6
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[7] De Finetti theorems for braided parafermions

Kaifeng Bu Harvard University, Cambridge, MA, 02138, USA; Zhejiang University, Hangzhou, China Arthur Jaffe Harvard University, Cambridge, MA, 02138, USA Zhengwei Liu Harvard University, Cambridge, MA, 02138, USA; Tsinghua University, Beijing, China Jinsong Wu Harvard University, Cambridge, MA, 02138, USA; Harbin Institute of Technology, Harbin, China

Functional Analysis Mathematical Physics Probability Spectral Theory and Operator Algebra mathscidoc:2207.12005

Communications in Mathematical Physics, 373, 435–456, 2019.10
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[8] Quantum tunneling on graphs

Yong Lin Department of Mathematics, Information School, Renmin University of China, Beijing, People’s Republic of China Gábor Lippner Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

Combinatorics Mathematical Physics mathscidoc:2207.06002

Communications in Mathematical Physics, 311, 113–132, 2012.2
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[9] Quon language: surface algebras and Fourier duality

Zhengwei Liu Departments of Mathematics and of Physics, Harvard University, Cambridge, USA

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22003

Communications in Mathematical Physics, 366, 865–894, 2019.3
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[10] Holographic software for quantum networks

Arthur Jaffe Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA Zhengwei Liu Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA Alex Wozniakowski Present address: Current address: School of Physical and Mathematical Sciences and Complexity Institute, Nanyang Technological University, Singapore, 637723, Singapore; Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22002

Science China Mathematics, 61, 593–626, 2018.2
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[11] Deformations with Maximal Supersymmetries Part 1: On-shell Formulation

Chi-Ming Chang Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138 USA Ying-Hsuan Lin Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138 USA Yifan Wang Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139 USA Xi Yin Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138 USA

Mathematical Physics arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22001

arXiv, 2014.3
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[12] Constructive simulation and topological design of protocols

Arthur Jaffe Harvard University, Cambridge, MA 02138, United States of America; Max Planck Institute for Mathematics, Bonn, Germany Zhengwei Liu Harvard University, Cambridge, MA 02138, United States of America Alex Wozniakowski Harvard University, Cambridge, MA 02138, United States of America

Mathematical Physics mathscidoc:2206.22009

New Journal of Physics, 19, 063016, 2017.6
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[13] Radiative transfer and diffusion limits for wave field correlations in locally shifted random media

Habib Ammari Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France Emmanuel Bossy Institut Langevin, ESPCI ParisTech, CNRS UMR 7587, 10 rue Vauquelin, 75231 Paris Cedex 05, France Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 75205 Paris Cedex 13, France Wenjia Jing Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France Laurent Seppecher Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France

Analysis of PDEs Mathematical Physics mathscidoc:2206.03007

Journal of Mathematical Physics, 54, (2), 021501, 2013.2
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[14] Target Identification Using Dictionary Matching of Generalized Polarization Tensors

Habib Ammari Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Thomas Boulier Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 75205, Paris Cedex 13, France Wenjia Jing Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Hyeonbae Kang Department of Mathematics, Inha University, Incheon, 402-751, Korea Han Wang Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France

Analysis of PDEs Mathematical Physics Numerical Analysis and Scientific Computing Optimization and Control mathscidoc:2206.03006

Foundations of Computational Mathematics, 14, 27-62, 2013.9
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[15] A unified quantization of gravity and other fundamental forces of nature

Claus Gerhardt Ruprecht-Karls-Universität, Institut für Angewandte Mathematik

Mathematical Physics Theoretical Physics mathscidoc:2206.22008

Universe, 8, (8), 404, 2022.8
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[16] Towards a Complete Classification of Symmetry-Protected Topological Phases for Interacting Fermions in Three Dimensions and a General Group Supercohomology Theory

Qing-Rui Wang Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China Zheng-Cheng Gu Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

Mathematical Physics arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.22007

Physical Review X, 8, 011055, 2018.3
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[17] Construction and Classification of Symmetry-Protected Topological Phases in Interacting Fermion Systems

Qing-Rui Wang Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China Zheng-Cheng Gu Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

Mathematical Physics arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.22006

Physical Review X, 10, 031055, 2020.9
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[18] Exactly solvable lattice models for interacting electronic insulators in two dimensions

Qing-Rui Wang Yau Mathematical Sciences Center, Tsinghua University, Haidian, Beijing 100084, China; Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Huairou, Beijing 101408, China Yang Qi Center for Field Theory and Particle Physics, Department of Physics, Fudan University, Shanghai 200433, China; State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China Chen Fang Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China Meng Cheng Department of Physics, Yale University, New Haven, CT 06511-8499, USA Zheng-Cheng Gu Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

Mathematical Physics arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.22005

2021.12
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[19] Topological Quantum Field Theory for Abelian Topological Phases and Loop Braiding Statistics in (3+1)-Dimensions

Qing-Rui Wang Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong Meng Cheng Department of Physics, Yale University, New Haven, Connecticut 06511-8499, USA Chenjie Wang Department of Physics, City University of Hong Kong, Kowloon, Hong Kong; Department of Physics and Center of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China Zheng-Cheng Gu Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong

Mathematical Physics arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.22004

PHYSICAL REVIEW B, 99, 235137, 2019.6
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[20] Non-Abelian Three-Loop Braiding Statistics for 3D Fermionic Topological Phases

Jing-Ren Zhou Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong Qing-Rui Wang Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong Chenjie Wang Department of Physics and HKU-UCAS Joint Institute for Theoretical and Computational Physics, The University of Hong Kong, Hong Kong, China Zheng-Cheng Gu Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong

Mathematical Physics arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.22003

Nature Communications, 12, 3191, 2021.5
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[21] Computing Classification of Interacting Fermionic Symmetry-Protected Topological Phases Using Topological Invariants

Yunqing Ouyang State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China; Center for Field Theory and Particle Physics, Department of Physics, Fudan University, Shanghai 200433, China Qing-Rui Wang Department of Physics, Yale University, New Haven, CT 06511, USA Zheng-Cheng Gu Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China Yang Qi State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China; Center for Field Theory and Particle Physics, Department of Physics, Fudan University, Shanghai 200433, China; Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China

Mathematical Physics arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.22002

Chinese Physics Letters, 38, (12), 2021.11
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[22] Towards a complete classification of non-chiral topological phases in 2D fermion systems

Jing-Ren Zhou Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China Qing-Rui Wang Yau Mathematical Sciences Center, Tsinghua University, Haidian, Beijing, China; Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Huairou, Beijing, China Zheng-Cheng Gu Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

Mathematical Physics arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.22001

2021.12
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[23] Ising model with Curie-Weiss perturbation

Federico Camia Jianping Jiang Charles M. Newman

Mathematical Physics Probability mathscidoc:2205.22006

Journal of Statistical Physics, 188, 2022.5
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[24] The effect of free boundary conditions on the Ising model in high dimensions

Federico Camia Jianping Jiang Charles M. Newman

Mathematical Physics Probability mathscidoc:2205.28001

Probability Theory and Related Fields, 181, (1), 311–328, 2021.3
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[25] Quantum sheaf cohomology on Grassmannians

Jirui Guo Virginia Tech Zhentao Lu University of Oxford Eric Sharpe Virginia Tech

Mathematical Physics Algebraic Geometry arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2205.22005

Communications in Mathematical Physics, 352, (1), 135-184, 2017.12
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