Field Theories With a Vector Global Symmetry

Understand

Motivated by recent discussions of fractons, we explore nonrelativistic field theories with a continuous global symmetry, whose charge is a spatial vector.

• We present several such symmetries and demonstrate them in concrete examples.
• They differ by the equations their Noether currents satisfy.
• Simple cases, other than the translation symmetry, are an ordinary (relativistic) one-form global symmetry and its nonrelativistic generalization.