Strings on Bubbling Geometries

Details Strings on Bubbling Geometries Strings on Bubbling Geometries

2010-03-22

arxiv.org/abs/1003.4190v5

JHEP 1006:055,2010

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, 12 figures, published version in JHEP

Scientific paper

10.1007/JHEP06(2010)055

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.

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