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

TL;DR

This paper explores the gravitational clustering in the nonlinear regime using gravity duals, examines violations of the stable clustering ansatz, and tests popular models against newly extended consistency relations across dimensions.

Contribution

It extends the gravity dual approach to large-scale structure, introduces generalized consistency relations, and critically evaluates existing clustering models in this framework.

Findings

Violations of the stable clustering ansatz are analyzed in the gravity dual context.

Extended consistency relations are established for arbitrary dimensions.

Popular halo models do not satisfy the new consistency relations in their simplest forms.

Abstract

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