# Research

### Recent Highlights:

A. Unifed Approach to 2D Magnetism from Quantum Electrodynamics:

Xue-Yang Song, Y.-C. He, A. Vishwanath, and C. Wang

1. From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spin liquids:

2. Unifying description of competing orders in two-dimensional quantum magnets

Reviewed in: "Quantum electrodynamics in a piece of rock" by John MacGreevy (UCSD) in Nature Reviews Physics (2019) "Gauge theories, such as quantum electrodynamics, are a cornerstone of high-energy particle physics. They may also describe the physics of certain unassuming materials. Recent theoretical work moves this idea closer to reality."

B. : Exactly Soluble Floquet Models and Sine-Square Deformed CFTs

Ruihua Fan, Y. Gu, A. Vishwanath, and Xueda Wen

Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory: [pdf]

### Other Research:

 Fermion-Vortex Duality & InteractingTopological Phase Skyrmion Lattices and MnSi Weyl Fermions Filling Constraints on Quantum Phases Quantum Phases Far from Equilibrium Frustrated Magnetism