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We investigate a class of near-extremal solutions of Einstein-Maxwell-scalartheory with electric charge and power law scaling, dual to charged IR phases ofrelativistic field theories at low temperature. These are exact solutions oftheories with domain wall vacua; hence, we use nonconformal holography torelate the bulk and boundary theories. We numerically construct a globalinterpolating solution between the IR charged solutions and the UV domain wallvacua for arbitrary physical choices of Lagrangian parameters. By passing to aconformal frame in which the domain wall metric becomes that of AdS, we uncovera generalized scale invariance of the IR scaling solution, indicating aconnection to the physics of Lifshitz fixed points. Finally, guided byeffective field theoretic principles and the physics of nonconformal D-branes,we argue for the applicability of domain wall holography even in theories withAdS critical points, namely those theories for which a scalar potential isdominated by a single exponential term over a large range.

Domain Wall Holography for Finite Temperature Scaling Solutions