Soon after the discovery of high temperature superconductivity, Anderson [6] presented influential ideas on its connection to a novel type of insulator, in which the electron falls apart into emergent fractional particles which separately carry its spin and charge. These ideas have been extensively developed [7], and can explain the nodal zero-energy electron states in the superconductor. However, it is now known that the actual cuprate insulators are not of this type, and instead have conventional antiferromagnetic order, with the electron spins aligned in a checkerboard pattern on the square lattice. A separate set of ideas [8] take the presence of antiferromagnetic order in the insulator seriously, but require a specific effort to induce zero energy nodal electrons in the superconductor.Our theory of algebraic charge liquids (ACLs) uses the the recently developed theoretical