Giant Gravitons in the Schrodinger holography

TL;DR

This paper explores new giant graviton configurations in non-supersymmetric Schrodinger holography, revealing stability conditions, tunnelling phenomena, and holographic correlation functions, thus advancing understanding of non-supersymmetric holographic duals.

Contribution

It introduces novel giant graviton solutions in Schrodinger holography and analyzes their stability, tunnelling, and correlation functions, extending previous pp-wave limit results.

Findings

Giant gravitons are energetically favored over point gravitons in Schrodinger spacetime.

A critical deformation value causes the disappearance of point gravitons from the spectrum.

Explicit instanton solutions quantify tunnelling probabilities between configurations.

Abstract

We construct and study new giant graviton configurations in the framework of the non-supersymmetric Schrodinger holography. We confirm in the original Schrodinger spacetime, the picture discovered previously in the pp-wave limit of the geometry, namely that it is the giant graviton that becomes the energetically favored stable configuration compared to the point graviton one. Furthermore, there is a critical value of the deformation above which the point graviton disappears from the spectrum. The former fact leads also to the possibility of tunnelling from the point graviton to the giant graviton configuration. We calculate, explicitly, the instanton solution and its corresponding action which gives a measure of the tunnelling probability. Finally, we evaluate holographically the three-point correlation function of two giant gravitons and one dilaton mode as a function of the Schrodinger invariant.