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Unitary 4-point correlators from classical geometries

We compute correlators of two heavy and two light operators in the strong coupling and large c limit of the D1D5 CFT which is dual to weakly coupled [Formula: see text] gravity. The light operators have dimension two and are scalar descendants of the chiral primaries considered in arXiv:1705.09250,...

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Detalles Bibliográficos
Autores principales: Bombini, Alessandro, Galliani, Andrea, Giusto, Stefano, Moscato, Emanuele, Russo, Rodolfo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6566207/
https://www.ncbi.nlm.nih.gov/pubmed/31258392
http://dx.doi.org/10.1140/epjc/s10052-017-5492-3
Descripción
Sumario:We compute correlators of two heavy and two light operators in the strong coupling and large c limit of the D1D5 CFT which is dual to weakly coupled [Formula: see text] gravity. The light operators have dimension two and are scalar descendants of the chiral primaries considered in arXiv:1705.09250, while the heavy operators belong to an ensemble of Ramond–Ramond ground states. We derive a general expression for these correlators when the heavy states in the ensemble are close to the maximally spinning ground state. For a particular family of heavy states we also provide a result valid for any value of the spin. In all cases we find that the correlators depend non-trivially on the CFT moduli and are not determined by the symmetries of the theory; however, they have the properties expected for correlators among pure states in a unitary theory, in particular they do not decay at large Lorentzian times.