Galilean Conformal Electrodynamics

Understand

Maxwell's Electrodynamics admits two distinct Galilean limits called the Electric and Magnetic limits.

• We show that the equations of motion in both these limits are invariant under the Galilean Conformal Algebra in D=4, thereby exhibiting non-relativistic conformal symmetries.
• Remarkably, the symmetries are infinite dimensional and thus Galilean Electrodynamics give us the first example of an infinitely extended Galilean Conformal Field Theory in D>2.
• We examine details of the theory by looking at purely non-relativistic conformal methods and also use input from the limit of the relativistic theory.