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Strings on Bubbling Geometries

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					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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Description: Strings,Bubbling,Geometries,Strings on Bubbling Geometries