Abstract
We continue the exploration of nonstandard continuum field theories related to fractons in 3+1 dimensions. Our theories exhibit exotic global and gauge symmetries, defects with restricted mobility, and interesting dualities. Depending on the model, the defects are the probe limits of either fractonic particles, strings, or strips. One of our models is the continuum limit of the plaquette Ising lattice model, which features an important role in the construction of the X-cube model.
Highlights
Fractons are novel lattice models that do not admit conventional quantum field theory descriptions in the continuum limit. (For reviews, see e.g., [1, 2] and references therein.) Their main characteristics include immobile massive particle excitations, large ground state degeneracy that grows in the system size subextensively, and exotic global and gauge symmetries
In the language of continuum field theory, it means that certain local operators can be added to the Lagrangian and destabilize the theory
The system has a large number of U(1) global symmetries, which grows quadratically in the size of the system
Summary
Fractons are novel lattice models that do not admit conventional quantum field theory descriptions in the continuum limit. (For reviews, see e.g., [1, 2] and references therein.) Their main characteristics include immobile massive particle excitations, large ground state degeneracy that grows in the system size subextensively, and exotic global and gauge symmetries. (For reviews, see e.g., [1, 2] and references therein.) Their main characteristics include immobile massive particle excitations, large ground state degeneracy that grows in the system size subextensively, and exotic global and gauge symmetries These models pose possible counterexamples to the lore that the long distance behavior of every lattice system with local interactions can be captured by a local continuum quantum field theory. Since this lore is widely accepted as correct, it makes sense to get to the bottom of the apparent conflict between the lore and the examples. In the language of continuum field theory, it means that certain local operators can be added to the Lagrangian and destabilize the theory
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
