Gravity duals of Lifshitz-like fixed points

We find candidate macroscopic gravity duals for scale-invariant but non-Lorentz invariant fixed points, which do not have particle number as a conserved quantity. We compute two-point correlation functions which exhibit novel behavior relative to their AdS counterparts, and find holographic renormalization group flows to conformal field theories. Our theories are characterized by a dynamical critical exponent $z$, which governs the anisotropy between spatial and temporal scaling $t\ensuremath{\rightarrow}{\ensuremath{\lambda}}^{z}t$, $x\ensuremath{\rightarrow}\ensuremath{\lambda}x$; we focus on the case with $z=2$. Such theories describe multicritical points in certain magnetic materials and liquid crystals,…