Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-04-10
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, 3 figures; v2: references added
Scientific paper
We give a proof that the expected counting of strings attached to giant graviton branes in AdS_5 x S^5, as constrained by the Gauss Law, matches the dimension spanned by the expected dual operators in the gauge theory. The counting of string-brane configurations is formulated as a graph counting problem, which can be expressed as the number of points on a double coset involving permutation groups. Fourier transformation on the double coset suggests an ansatz for the diagonalization of the one-loop dilatation operator in this sector of strings attached to giant graviton branes. The ansatz agrees with and extends recent results which have found the dynamics of open string excitations of giants to be given by harmonic oscillators. We prove that it provides the conjectured diagonalization leading to harmonic oscillators.
Mello Koch Robert de
Ramgoolam Sanjaye
No associations
LandOfFree
A double coset ansatz for integrability in AdS/CFT 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 A double coset ansatz for integrability in AdS/CFT, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A double coset ansatz for integrability in AdS/CFT will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-645376