Strings on Bubbling Geometries → Sing Stright

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Strings on Bubbling Geometries

Abstract

e 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 polyno-
mials. 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 de-
scription 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.

Strings on Bubbling Geometries

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