Notes on flat-space limit of AdS/CFT

A bstract Different frameworks exist to describe the flat-space limit of AdS/CFT, include momentum space, Mellin space, coordinate space, and partial-wave expansion. We explain the origin of momentum space as the smearing kernel in Poincare AdS, while the origin of latter three is the smearing kerne...

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Published inThe journal of high energy physics Vol. 2021; no. 9; pp. 1 - 56
Main Author Li, Yue-Zhou
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 06.09.2021
Springer Nature B.V
SpringerOpen
Subjects
AdS-CFT Correspondence
Classical and Quantum Gravitation
Conformal Field Theory
Elementary Particles
Galling
High energy physics
Kernels
Momentum
Photons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
AdS-CFT Correspondence
Conformal Field Theory
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Summary:A bstract Different frameworks exist to describe the flat-space limit of AdS/CFT, include momentum space, Mellin space, coordinate space, and partial-wave expansion. We explain the origin of momentum space as the smearing kernel in Poincare AdS, while the origin of latter three is the smearing kernel in global AdS. In Mellin space, we find a Mellin formula that unifies massless and massive flat-space limit, which can be transformed to coordinate space and partial-wave expansion. Furthermore, we also manage to transform momentum space to smearing kernel in global AdS, connecting all existed frameworks. Finally, we go beyond scalar and verify that VV O maps to photon-photon-massive amplitudes.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2021)027