PIRSA:23050094

The aAdS Geometry of Heavy CFT Correlators: Bananas to Doors to… Wormholes?

APA

Abajian, J. (2023). The aAdS Geometry of Heavy CFT Correlators: Bananas to Doors to… Wormholes?. Perimeter Institute. https://pirsa.org/23050094

MLA

Abajian, Jacob. The aAdS Geometry of Heavy CFT Correlators: Bananas to Doors to… Wormholes?. Perimeter Institute, May. 12, 2023, https://pirsa.org/23050094

BibTex

          @misc{ pirsa_PIRSA:23050094,
            doi = {10.48660/23050094},
            url = {https://pirsa.org/23050094},
            author = {Abajian, Jacob},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {The aAdS Geometry of Heavy CFT Correlators: Bananas to Doors to{\textellipsis} Wormholes?},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {may},
            note = {PIRSA:23050094 see, \url{https://pirsa.org}}
          }
          

Abstract

We develop the bulk geometric description of correlation functions of operators whose scaling dimensions are of order the central charge in AdS/CFT. We follow a bottom-up approach, discussing solutions to Einstein gravity that are closely related to familiar black holes in AdS. In order to reproduce the correct dependence of a conformal correlation function on the location of operator insertions, we must introduce a novel Gibbons-Hawking-York boundary term associated with the stretched horizon of each black hole. We discuss the bulk dual of two point functions in CFT’s living in arbitrary dimensions. Specializing to AdS3 allows us to discuss higher point functions, where we find that the dual geometries are sometimes multi-boundary wormholes, whose holographic interpretation has been the focus of much recent activity.

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