Invasion of the Giant Gravitons from Anti-de Sitter Space

TL;DR

This paper explains the stringy exclusion principle in AdS/CFT as a large distance effect where high angular momentum states expand into spherical branes, preventing them from exceeding the sphere's size.

Contribution

It reveals that the exclusion principle arises from the size expansion of states into spherical branes, challenging the view of it as a purely small-distance phenomenon.

Findings

High angular momentum states become larger, forming spherical branes.

The size of these branes is limited by the sphere's dimensions.

The exclusion principle is due to the physical size constraint of branes.

Abstract

It has been known for some time that the AdS/CFT correspondence predicts a limit on the number of single particle states propagating on the compact spherical component of the AdS-times-sphere geometry. The limit is called the stringy exclusion principle. The physical origin of this effect has been obscure but it is usually thought of as a feature of very small distance physics. In this paper we will show that the stringy exclusion principle is due to a surprising large distance phenomenon. The massless single particle states become progressively less and less point-like as their angular momentum increases. In fact they blow up into spherical branes of increasing size. The exclusion principle is simply understood as the condition that the particle should not be bigger than the sphere that contains it.