From AdS to Flat Space: Massive Spin-2 Fields

TL;DR

This paper studies a holographic model with a charged massive spin-2 field in AdS, deriving boundary correlators, and confirms that the flat-space limit reproduces expected scattering amplitudes, linking bulk couplings to boundary data.

Contribution

It provides a detailed holographic analysis of a charged massive spin-2 field, including renormalization, correlator computations, and the flat-space limit, establishing explicit bulk-boundary mappings.

Findings

Explicit bulk-boundary coupling mappings derived

Holographic correlators match boundary OPE data

Flat-space limit reproduces expected scattering amplitudes

Abstract

We analyze a bulk effective field theory in AdS containing a U(1)-charged massive spin-2 field coupled to a gauge field, by performing the required holographic renormalization, and computing the one and two-point functions. We then compute the renormalized bulk three-point function involving two massive spin-2 fields and one gauge field. Matching with the CFT 3-point correlator of two non-conserved spin-2 operators and a conserved current, we obtain explicit mappings between the bulk minimal and gyromagnetic couplings and the boundary OPE data. Finally, we take the flat-space limit of the momentum space CFT correlator and verify that the resulting amplitude matches the expected flat-space structure.