If you pull an atom's electron far (~100 nm) from its nucleus, you will get a large electric dipole. In this talk, I will discuss what happens if you do this to 100+ atoms trapped in an optical tweezer array, where the dipole-dipole interactions manifest as a long-range spin-1/2 XY model. Focusing on the many-body ground state, I will argue from numerical calculations (iDMRG) that this dipolar XY model can naturally yield a gapless Dirac spin liquid. This is a quantum critical phase of matter representing a strongly-interacting, (2+1)-dimensional version of relativistic quantum electrodynamics with emergent fermions. I will then present recent results from Rydberg array experiments in Antoine Browaeys’ group where we attempt to prepare and characterize this spin liquid.