In physics, Randall-Sundrum models imagine that the real world is a higher-dimensional Universe described by warped geometry.
More concretely, our Universe is a five-dimensional Anti de Sitter space and the elementary particles except for the graviton are localized on a 3+1-dimensional brane or branes.
Astrophysical Implications of the Randall-SundrumModel - University of Portsmouth
Brane-world models of the universe, inspired by string theory, introduce interesting changes to the general relativistic dynamics of compact objects and gravitational collapse.
In the simplest case of Oppeneimer-Sneider collapse it is impossible to match with a static vacuum exterior...
The model contains 47 species of elementary particles, some of which can combine to form composite particles, accounting for the hundreds of other species of particles discovered since the 1960s.
This term was deprecated after the formulation of the Standard Model during the 1970s in which the large number of particles was explained as combinations of a (relatively) small number of fundamental particles.
While the Standard Model itself is not challenged, it is contended that the properties of elementary particles are no more (or less) fundamental than the emergent properties of atoms and molecules, and especially statistically large ensembles of those.
Randall and Sundrum [#!RS1!#,#!RS2!#] proposed a new scenario for string compactification, solving the hierarchy problem.
The original RS model has aroused great theoretical interest, and many possibile extensions and elaborations of this type of theory are being discussed in the literature.
Here, the graviton that we observe in four dimensions is not the usual 10 dimensional bulk graviton, but a particular mode of the 10 dimensional graviton which is localized on a brane.
We discuss some issues about the holographic interpretation of the compact Randall-Sundrummodel, which is conjectured to be dual to a 4d field theory with non-linearly realized conformal symmetry.
Comments on the Holographic Picture of the Randall-SundrumModel
Modelling and Simulation in Materials Science and Engineering
But the more important result is that--according to Randall and Sundrum's derivations--experiments in our 3-brane would agree very closely with Newton's law of gravity because the gravitons we observe would have little experience of the extra dimension.
So Randall and Sundrum imagine a world with four spatial dimensions, where gravity exists in all four, but the other forces--and all of our direct experience--exist in 3D.
As an alternative to compactified dimensions, Lisa Randall of Princeton University and Raman Sundrum, now of Stanford University, describe a scenario in which an extra, infinite dimension could have remained undetected so far.
We explore the consequences of placing the Standard Model gauge fields in the bulk of the recently proposed localized gravity model of Randall and Sundrum.
Hence we conclude that it is disfavored to place the Standard Model gauge fields in the bulk of this model as it is presently formulated.
Taking the weak scale to be $\sim 1$ TeV, the resulting implications on the model parameters force the bulk curvature, $R_5$, to be larger than the higher dimensional Planck scale, $M$, violating the consistency of the theory.
Due to the relationship between the lightest gauge KK state and the electroweak scale in this model, this weakened constraint allows for the electroweak scale to be near a TeV in this minimal extension of the Randall-Sundrummodel with bulk gauge fields, as opposed to the conventional scenario.
SLAC-PUB-9614 -- Brane-Localized Kinetic Terms in the Randall-SundrumModel
We derive the resulting gauge Kaluza-Klein (KK) state wavefunctions and their corresponding masses, as well as the KK gauge field couplings to boundary fermions, and find that they are modified in the presence of the boundary terms.
C. Sochichiu, hep-th/9911075; - BPS DOMAIN WALL JUNCTIONS IN INFINITELY LARGE EXTRA DIMENSIONS, Sean M. Carroll, Simeon Hellerman, Mark Trodden, hep-th/9911083; - MODELING A NETWORK OF BRANE WORLDS, Soonkeon Nam, hep-th/9911104; - EXPERIMENTAL TEST FOR 5TH DIMENSION IN KALUZA-KLEIN GRAVITY, V.Dzhunushaliev, D.Singleton, gr-qc/9911120; - COSMOLOGICAL MODELS WITH ONE EXTRA DIMENION A. Yu.
The models were proposed in 1999 by (additional info and facts about Lisa Randall) Lisa Randall and (additional info and facts about Raman Sundrum) Raman Sundrum while studying (additional info and facts about technicolor model) technicolor models.
More concretely, our Universe is a five-dimensional (additional info and facts about Anti de Sitter space) Anti de Sitter space and the elementary particles except for the (additional info and facts about graviton) graviton are localized on a 3+1-dimensional (additional info and facts about brane) brane or branes.
The first, called RS1, has a finite size for the extra dimension with two branes, one at each end.
