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On the existence of supergravity duals to D1-D5 CFT states

2007/05/31 by Klaus Larjo · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dual polyhedron #Gauged supergravity #Metric (unit) #Noncommutative and Quantum Gravity Theories #Observable #Operator (biology) #Quantum gravity #Spectrum (functional analysis) #State (computer science) #Supergravity #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/07/041

published as JHEP 0707:041,2007 · 22 pages, 2 figures. v2 : references added, typos corrected

arxiv created 2007/06/15 · openalex publication_date 2007/07/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We define a metric operator in the 1/2-BPS sector of the D1-D5 CFT, the eigenstates of which have a good semi-classical supergravity dual; the non-eigenstates cannot be mapped to semi-classical gravity duals. We also analyse how the data defining a CFT state manifests itself in the gravity side, and show that it is arranged into a set of multipoles. Interestingly, we find that quantum mechanical interference in the CFT can have observable manifestations in the semi-classical gravity dual. We also point out that the multipoles associated to the normal statistical ensemble fluctuate wildly, indicating that the mixed thermal state should not be associated to a semi-classical geometry.

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