Emergent quantum near-criticality from baryonic black branes

We find new black 3-brane solutions describing the "conifold gauge theory" at nonzero temperature and baryonic chemical potential. Of particular interest is the lowtemperature limit where we find a new kind of weakly curved near-horizon geometry; it is a warped product AdS ₂×ℝ³×T^1,1 with warp factors that are powers of the logarithm of the AdS radius. Thus, our solution encodes a new type of emergent quantum near-criticality. We carry out some stability checks for our solutions. We also set up a consistent ansatz for baryonic black 2-branes of M-theory that are asymptotic to AdS₄ × Q ^1,1,1.