Semi-classical Probe Strings on Giant Gravitons Backgrounds

TL;DR

This paper explores symmetries of LLM geometries and uses semi-classical string probes to compare smooth giant graviton backgrounds with singular superstar solutions, revealing how symmetries manifest in string dynamics.

Contribution

It analyzes $Z_2$ symmetries in LLM geometries and investigates their realization through semi-classical string probes in different 1/2 BPS backgrounds.

Findings

Identification of two $Z_2$ symmetries exchanging black and white regions.

Comparison of string probe behavior in smooth and singular geometries.

Insights into how symmetries are realized in semi-classical string dynamics.

Abstract

In the first part of this paper we study two $Z_2$ symmetries of the LLM metric, both of which exchange black and white regions. One of them which can be interpreted as the particle-hole symmetry is the symmetry of the whole supergravity solution while the second one is just the symmetry of the metric and changes the sign of the fivefrom flux. In the second part of the paper we use closed string probes and their semi-classical analysis to compare the two 1/2 BPS deformations of $AdS_5\times S^5$, the smooth LLM geometry which contains localized giant gravitons and the superstar case which is a solution with naked singularity corresponding to smeared giants. We discuss the realization of the $Z_2$ symmetry in the semi-classical closed string probes point of view.