Quantum Hall effect Geometry and dynamics in the fractional quantum Hall effect: from graviton oscillation to quantum many-body scars--Papic Geometry of "flux attachment" in the fractional quantum Hall effect-Haldane Geometry and entanglement entropy -- Haldane Graviton modes in fractional quantum hall liquids--Yu zhou Wang Noncommutative geometry on Landau levels -Hesebe Symmetry and phases in cold atomic and condensed matter systems-Shou cheng Zhang Hopf terms for ayons--Nicolai Lang $SU(4)$ Hubbard model Quantum hall and entanglement entropy --N. Shibata Entanglement spectrum of fractional quantum hall states Gapless spectrum and FQHE and topological insulators--Haldane Quantum Entanglement and Topological Order--Ashvin Vishwanath Hubbrad model $SU(N)$ Hubbard model on honeycomb--Assaad one dimensional exact solution--jun peng Cao Wu lecture Condensed matter physics --Cong Jun WU Frustrated superfluidity--Cong Jun Wu Hidden Symmetry and Quantum Phases in Spin $\frac{3}{2}$ Cold Atomic Systems--Cong Jun Wu Progress on Itinerant Electrons – Ferromagnetism, Curie-Weiss Metal, and Spin-orbit Ordering--Cong Jun Wu Frustrated superfluidity--Cong Jun Wu The Symmetry Principle in Condensed Matter Physics--Cong Jun Wu Helical Luttinger liquid --Cong Jun WU Slater and Mott Physics of SU$(N)$ Hubbard models--Congjun WU Unconventional(nematic) Metamagnetism in the $t_{2g}$-orbital System of $Sr_3Ru_2O_7$--Congjun WU Unconventional magnetism and spontaneous spin-orbit ordering--Congjun WU Quaternionic Landau level --Congjun WU Symmetry and Correlation Aspects of Quantum Dynamics --Congjun WU $T$-invariant Decomposition and the Sign Problem in Quantum Monte Carlo Simulations --Congjun WU Quantum States with $\mathrm{Sp(2N)}$, $\mathrm{SU(2N)}$ and $\mathrm{G_2}$ symmetries --Congjun WU Spin $\frac{3}{2}$ princeton --Congjun WU Novel Orbital Phases of Cold Atoms– Unconventional BEC, Cooper pairing, and frustration --Congjun WU Novel Orbital Phases of Fermions in p-band Optical Lattices--Congjun WU Entangle ment Enropy Entanglement Entropy and AdS/CFT--Tadashi Takayanagi Quantum Hall state and entropy--Shibata Deconfined quantum critical points Deconfined Quantum Critical Points--Senthil Deconfined quantum criticality--Senthil Duality in Condensed Matter Physics and Quantum Field Theory--Eduardo Fradkin Deconfined quantum critical points--Leon Balents Phases of (2+1)D $\mathrm{SO5}$ non-linear sigma model with WZW term on a sphere: Multi-critical point and disorder phase--Binbin Chen Intro to deconfined criticality & related ideas--Adam Nahum Topological terms Topological Terms of Nonlinear Sigma models--Cen Ke Xu Berry phase and supersymmetry--David Tong Weiss-Zumino model Superconductivity Electron-Electron Interaction Driven Exotic SCs on Quasicrystals--Fan Yang Concepts-in-high-temperature-superconductivity-- Kilveson $SO(5)$ superconductivity-S.C.Zhang Physics of Doped Mott-Hubbard Insulators and the High-Temperature Superconductors--Claudius Gros Field theory Thoughts About Quantum Field Theory--Nathan Seiberg Field Theory and Electroweak Standard Model--Faisal Akram Field Theory and Electroweak Standard Model--Faisal Akram Topological physics General Theory of Topological Insulators-Shou cheng Zhang Dissipationless quantum spin current at room temperature--S.C.Zhang The spin Hall effect--S.C.Zhang The Persistent Spin Helix--S.C.Zhang Semiclassical theory for Bloch electrons to second order in electromagnetic fields--Qian Niu Berry Phase Effects on Electronic Properties--Qian Niu Topology in solid state physics, a historical overview--Ming chang Che Band Topology Theory and Topological Materials Prediction--翁红明 Topological Field Theory for p-wave SC--Hansson Symmetry, Geometry, and Topological Phases --Taylor Huges The KZ Anomaly in Topological Insulators Topological Field Theory for p-wave SCs--Hannson Electrodynamics in topological insulators--Moore Electrodynamics in topological insulators--Moore Abelian and non-Abelian gauge fields in the Brillouin zone for insulators and metals--Moore Quantum spin liquid Jordan-Wigner Transformation and Topological characterization of quantum phase transitions in the Kitaev mode--Tao Xiang Quantum spin liquids--Simon Trebst Characterizing spin liquids and topological orders in model wavefunctions and Hamiltonians--Frank Pollmann LSM theorem Quantum Spin Chains and von Neumann Algebra Lieb-Schultz-Mattis type theorem without continuous symmetry--Hal Tasaki SPT and topological index in quantum spin chain--Hal Tasaki Generalized Lieb-Schultz-Mattis theorems from the SPT perspective--Jian Chao Ming Anomaly Matching and Symmetry-protected Criticality in 1d Quantum Many-body Systems--Chang-Tse Hsieh The Haldane Phase as a Symmetry-Protected Topological Phase and Quantum Entanglement--Masaki Oshikawa Anomaly and Symmetry-Protected Critical Phases--Masaki Oshikawa Higher symmetry ’t Hooft anomalies, phases, and domain walls--Erich Poppitz Reviving the Lieb–Schultz–Mattis Theorem in Open Quantum Systems--Chengshu Li Conformal field 3D Ising Model and Conformal Bootstrap--Slava Rychkov Mixed Correlators in 3D Conformal Field Theories--Alex Atanasov The Ising model in Conformal Field Theory--Paolo Molignini Quantum chaos, Black holes and Sachdev-Ye-Kitaev (SYK) models--JinWU Ye Quantum chaos, Black holes and Sachdev-Ye-Kitaev (SYK) models--JinwU Ye A 3d Ising model with a weakly-coupled string dual--Mc Greevy Topological phase classification Classification of topological insulators and superconductors and D-branes--Shinzei Ryu Symmetry protected topological phases and "orbifolds"--Shinzei Ryu Machaine learning 从伊辛模型到神经网络: 2024物理诺奖解读--张潘 Quantum anomaly Anomalies and $\theta$ terms on the lattice--Hersh Singh 't Hooft anomaly matching condition and Chiral symmetry breaking without fermion bilinear condensate--Oshikawa Symmetries and Their Generalizations in Topological Phases of Matter--ShuHeng Shao New ’t Hooft anomalies and the phases of gauge theories--Erich Poppitz Global inconsistency and ’t Hooft anomaly in bifundamental gauge theories at finite theta angles --Yuta Kikuchi Generalized Symmetries in Quantum Field Theory --Clay Córdova Generalized Global Symmetries in QFTs via String Compactifications --Lakshya Bhardwaj Quantum anomaly pro.pdf -Mozo Quantum many body scar Group Invariant States as Quantum Many-Body Scars--Igor R. Klebanov Exact eigenstates of multicomponent Hubbard models: $\mathrm{SU(N)}$ magnetic η pairing and weak ergodicity breaking-Masaya Nakagawa Previous Research interest Next Group theory Lecture CATALOG FEATURED TAGS Group theory Condense matter theory Field theory Open quantum systems Category and conformal field theory FRIENDS Dr. Vadim Kaplunovsky Kevin Fossez