Strings on bubbling geometries
Abstract
We study gauge theory operators which take the form of a product of a trace with a Schur polynomial, and their string theory duals. These states represent strings excited on bubbling AdS geometries which are dual to the Schur polynomials. These geometries generically take the form of multiple annuli in the phase space plane. We study the coherent state wavefunction of the lattice, which labels the trace part of the operator, for a general Young tableau and their dual description on the droplet plane with a general concentric ring pattern. In addition we identify a density matrix over the coherent states on all the geometries within a fixed constraint. This density matrix may be used to calculate the entropy of a given ensemble of operators. We finally recover the BMN string spectrum along the geodesic near any circle from the ansatz of the coherent state wavefunction.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2010
 DOI:
 10.1007/JHEP06(2010)055
 arXiv:
 arXiv:1003.4190
 Bibcode:
 2010JHEP...06..055L
 Keywords:

 Gaugegravity correspondence;
 AdSCFT Correspondence;
 Sigma Models;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Quantum Physics
 EPrint:
 41 pages, 12 figures, published version in JHEP