Exotic symmetries, duality, and fractons in 2

We discuss nonstandard continuum quantum field theories in 2 + 1 dimensions. They exhibit exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to dualities of systems in 1 + 1 dimensions. These continuum models represent the low-energy limits of certain known lattice systems. One key aspect of these continuum field theories is the important role played by discontinuous field configurations. In two companion papers, we will present 3 + 1-dimensional versions of these systems. In particular, we will discuss continuum quantum field theories of some models of fractons.

Automated summary

The passage discusses nonstandard continuum quantum field theories in 2+1 dimensions, highlighting their exotic global symmetries, charged excitations, and dualities resembling systems in 1+1 dimensions. These continuum models serve as low-energy limits of known lattice systems, with discontinuous field configurations playing a crucial role. Additionally, the authors plan to present 3+1-dimensional versions of these systems in two companion papers, focusing on continuum quantum field theories of some fracton models.