Giant Graviton Oscillators

Details Giant Graviton Oscillators Giant Graviton Oscillators

2011-08-13

arxiv.org/abs/1108.2761v1

Physics

High Energy Physics

High Energy Physics - Theory

72 pages

Scientific paper

We study the action of the dilatation operator on restricted Schur polynomials labeled by Young diagrams with p long columns or p long rows. A new version of Schur-Weyl duality provides a powerful approach to the computation and manipulation of the symmetric group operators appearing in the restricted Schur polynomials. Using this new technology, we are able to evaluate the action of the one loop dilatation operator. The result has a direct and natural connection to the Gauss Law constraint for branes with a compact world volume. We find considerable evidence that the dilatation operator reduces to a decoupled set of harmonic oscillators. This strongly suggests that integrability in N=4 super Yang-Mills theory is not just a feature of the planar limit, but extends to other large N but non-planar limits.

Affiliated with

Also associated with

No associations

Rating

Giant Graviton Oscillators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Giant Graviton Oscillators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Giant Graviton Oscillators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-636225