The Dual of a Tidal Force in the D1D5 CFT

TL;DR

This paper investigates how tidal forces in a superstratum geometry excite strings, using the AdS/CFT correspondence to connect gravitational effects with dual CFT transition amplitudes over time.

Contribution

It introduces a CFT-based approach to model tidal excitations of strings in superstratum geometries via deformation operators and transition amplitude calculations.

Findings

Transition amplitude grows as t^2 over time.

CFT transition amplitudes mirror tidal excitation effects.

Supports the duality between gravitational tidal forces and CFT dynamics.

Abstract

It was demonstrated that a string probe falling radially within a superstratum geometry would experience tidal forces. These tidal forces were shown to excite the string by converting its kinetic energy into stringy excitations. Using the AdS/CFT correspondence we seek to understand this behavior from the perspective of the dual D1D5 CFT. To study this process we turn on an interaction of the theory which is described by a deformation operator. We start with an initial state which is dual to a graviton probe moving within the superstratum geometry. We then use two deformation operators to compute transition amplitudes between this state and a final state that corresponds to stringy excitations. We show that this amplitude grows as $t^2$ with $t$ being the amount of time for which the deformation operators are turned on. We argue that this process in the CFT is suggestive of the tidal effects experienced by the probe propagating within the dual superstratum geometry.