Research interest

Posted by Maggie on May 20, 2024

Research interest

$SO(5)$ Landau regularization

  • Uncovering Conformal Symmetry in the 3D Ising Transition: State-Operator Correspondence from a Quantum Fuzzy Sphere Regularization
  • $SO(5)$ quantum random walker

  • Quantum walk on the Bloch sphere
  • Quantum walk for $SU(1,1)$
  • Four dimensional quantum geometry

  • Chiral Gravitons in Fractional Quantum Hall Liquids
  • Acoustic wave absorption as a probe of dynamical geometrical response of fractional quantum Hall liquids--Kung yang
  • Acoustic wave absorption as a probe of dynamical geometrical response of fractional quantum Hall liquids
  • Geometrical Description of the Fractional Quantum Hall Effect--Haldane
  • $SO(5)$ DQCP

  • A model of d-wave superconductivity, antiferromagnetism, and charge order on the square lattice--Subir Sachdev
  • Phases of (2+1)D $SO(5)$ non-linear sigma model with a topological term on a sphere: multicritical point and disorder phase
  • Phases of the (2 + 1) Dimensional $SO(5)$ Nonlinear Sigma Model with Topological Term Supplementary materials
  • Supplementary materials
  • Topological Luttinger theorem

  • Connecting the Many-Body Chern Number to Luttinger’s Theorem through Středa’s Formula(2023)
  • Topological interpretation of the Luttinger theorem--Yunoki
  • Topological Approach to Luttinger’s Theorem and the Fermi Surface of a Kondo Lattice(2000)
  • Hopf Insulator

  • </a> $\mathcal{PT}$ symmetric non-Hermitian Hopf metal Supplementary material for $\mathcal{PT}$ -symmetric Non-Hermitian Hopf Metal
  • $Z_2$ spin Hopf insulator: Helical hinge states and returning Thouless pump--Taylor Huges
  • Floquet Hopf Insulators--J.E Moore
  • Symmetry-protected topological Hopf insulator and its generalizations--Cenke XU
  • Path integral for Bell inequality

  • Spacetime Path Integrals for Entangled States
  • Feynman path integral formulation of the Bell-Clauser-Horne-Shimony- Holt inequality in quantum field theory
  • Topological term in $SU(4)$ Heisenberg model

  • Some features of the phase diagram of the square Lattice $SU(N)$ model. -- Read and Sachdev (1989)
  • Valence-Bond and Spin-Peierls Ground States of Low-Dimensional Quantum Antiferromagnets -- Read and Sachdev (1989)
  • Critical behaviour of $SU(n)$ quantum chains and topological non-linear $\sigma$ -models -- Affleck(1988)
  • Charge 4e superconductor

  • Competing Orders in One-Dimensional Spin-$\frac{3}{2}$ Fermionic Systems--Congjun Wu
  • Solvable model for a charge-4e superconductor -- Yuxuan wang
  • Fracton

  • Colloquium: Fracton matter -- Gromov
  • Gnerlaization of LSM theorem

  • Lieb-Schultz-Mattis Theorem in Open Quantum Systems -- Ryu
  • General Lieb–Schultz–Mattis Type Theorems for Quantum Spin Chains -- Tasaki
  • Lieb-Schultz-Mattis theorem and its generalizations from the perspective of the symmetry-protected topological phase -- Cen Ke XU
  • On topological phases of spin chains
  • Generalization of the Haldane conjecture to SU$(n)$ chains
  • Lieb-Schultz-Mattis, Luttinger, and ’t Hooft – anomaly matching in lattice systems--MengCheng,Seiberg
  • Generalized global symmetries--MengCheng,Seiberg