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Notes on flat-space limit of AdS/CFT

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arxiv 2106.04606 v2 pith:RIXNH3MO submitted 2021-06-08 hep-th

Yue-Zhou Li This is my paper · ORCID
classification hep-th
keywords spaceflat-spacekernellimitmellinmomentumsmearingcoordinate
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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 $\langle VV\mathcal{O}\rangle$ maps to photon-photon-massive amplitudes.

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Cited by 6 Pith papers

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