On Lifshitz scaling and hyperscaling violation in string theory
Narayan, K.
Original · EN
We explore string/M-theory constructions of holographic theories with Lifshitz scaling exponent z and hyperscaling violation exponent θ, finding a range of z,θ-values. Some of these arise as effective metrics from dimensional reduction of certain kinds of null deformations of AdS spacetimes appearing in the near horizon geometries of extremal D3-, M2- and M5-brane theories. The AdS₅ solution in particular gives rise to θ=1 in d=2 (boundary) space dimensions. Other solutions arise as the IIA D2- and D4-brane solutions with appropriate null deformations, and we discuss the phase structure of these systems.
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