Invasion of the giant gravitons from anti-de Sitter space

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 × S 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.

Fuzzy sphere dynamics and non-abelian DBI in curved backgrounds

“…If we take the large N limit and neglect the Chern-Simons part, this equation simplifies to 3.23) which shows that the size of the fuzzy sphere is only dependent upon the energy of the solution. This is what we expect from our knowledge of dielectric branes [8,15] and Giant Gravitons [16,17], which are expanding brane solutions sourced by non-trivial background fields. Even though we are only looking at a relatively simple example, we would expect to find some similarities between these problems.…”

SupersymmetricAdS5black holes

“…The charge of our solutions is KaluzaKlein charge arising from momentum on the internal S 5 . BPS solutions describing probe D3-branes moving on the internal S 5 of AdS 5 × S 5 are known: giant gravitons [47]. Going beyond the probe approximation, one can construct supersymmetric solutions of minimal D = 5 gauged supergravity by considering large numbers of giant gravitons suitably distributed on S 5 [48].…”

Brane partons and singleton strings

“…There are several ways of understanding this: first, if the tension is switched off adiabatically, then each cusp becomes a partonic lump following a massless geodesic confined to a (D − 2)-dimensional hypersurface, identifiable as a short open pbrane attached to a (D − 2)-brane in a decoupling limit in which the effective p-brane tension is sent to infinity resulting in massless quanta on the (D − 2)-brane at the endof-the-universe [26,73,74]. Lending the terminology of [75,76,77], the (D − 2)-brane solution is a giant vacuum with a singular conformal field theory [78] living on it. The resulting tensionless spectrum of space-time one-particle states consists of symmetrized multipletons 2 18) in agreement with the above interpretation and the fact that the normal-coordinate realization of the soliton gas obeys Bose symmetry in the leading order of the semi-classical expansion.…”