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.

41 pages, 12 figures, published version in JHEP

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Cited by in corpus (12)

• Nonplanar Integrability
• Surprisingly Simple Spectra
• LLM Magnons
• Exciting LLM Geometries
• Detecting topology change via correlations and entanglement from gauge/gravity correspondence
• Coherent state operators, giant gravitons, and gauge-gravity correspondence
• Young diagrams, Brauer algebras, and bubbling geometries
• Open giant magnons on LLM geometries
• Correlations vs connectivity in R-charge
• Finite N Quiver Gauge Theory
• Graph duality as an instrument of Gauge-String correspondence
• Shaping up BPS States with Matrix Model Saddle Points