The 3D Plaquette Ising Model: Subsystem Symmetries and Fractons

Explore the intricacies of fractons and subsystem symmetries in this comprehensive lecture on the 3D Plaquette Ising Model. Delve into the emergence of topological quasiparticle excitations with restricted mobility, tracing their origins from earlier models to the groundbreaking work of Pretko, Vijay, Haah, and Fu. Examine the X-cube model and its relation to the 3D plaquette Ising model through duality. Investigate both classical and quantum versions of the 3D plaquette Ising model, focusing on the unusual scaling properties of its first-order phase transition and the nature of its ordered phase. Compare and contrast the quasiparticle excitations in the dual X-cube model with those in the 2D toric code. Gain insights into various aspects of the model, including correlation length, periodic boundary conditions, spin flips, and subsystem symmetry. Presented by Des Johnston, this 1-hour 27-minute talk from the Dublin Institute for Advanced Studies DIAS covers a wide range of topics, from classical spin models to quantum spin models and continuum theory.

Introduction
Classical spin model
Correlation length
Time series
First simulations
Is it peculiar
Periodic boundary conditions
Spin flip
Writing the icing model in 3D
Other spin models
Strange scaling
Subsystem symmetry
Target code
Ground state
Excitations
Quantum spin models
Continuum theory
Executing model
Quasiparticles