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Gravitational clustering in the nonlinear regime remains poorly understood.Gravity dual of gravitational clustering has recently been proposed as a meansto study the nonlinear regime. The stable clustering ansatz remains a keyingredient to our understanding of gravitational clustering in the highlynonlinear regime. We study certain aspects of violation of the stableclustering ansatz in the gravity dual of Large Scale Structure (LSS). We extendthe recent studies of gravitational clustering using AdS gravity dual to takeinto account possible departure from the stable clustering ansatz and toarbitrary dimensions. Next, we extend the recently introduced consistencyrelations to arbitrary dimensions. We use the consistency relations to test thecommonly used models of gravitational clustering including the halo models andhierarchical ans\"atze. In particular we establish a tower of consistencyrelations for the hierarchical amplitudes: $Q, R_a, R_b, S_a,S_b,S_c$ etc. as afunctions of the scaled peculiar velocity $h$. We also study the variants ofpopular halo models in this context. In contrast to recent claims, none ofthese models, in their simplest incarnation, seem to satisfy the consistencyrelations in the soft limit.

Stable Clustering Ansatz, Consistency Relations and Gravity Dual of Large-Scale Structure