Gluon scattering in AdS from CFT

We present a compact formula in Mellin space for the four-point tree-level holographic correlators of chiral primary operators of arbitrary conformal weights in (2, 0) supergravity on AdS3× S3, with two operators in tensor multiplet and the other two in gravity multiplet. This is achieved by solving the recursion relation arising from a hidden six-dimensional conformal symmetry. We note the compact expression is obtained after carefully analysing the analytic structures of the correlators. Various limits of the correlators are studied, including the maximally R-symmetry violating limit and flat-space limit.

Section: Jhep07(2021)125mentioning

confidence: 97%

“…See recent work[32] for the study of hidden symmetries of correlation functions in other holographic theories.…”

mentioning

confidence: 99%

Notes on gravity multiplet correlators in AdS3 × S3

Wen

Zhang

2021

“…We looked only at marginal scalars, but it is of interest to find out if the double copy structure shows up in J s J s O ∆ if O is a general scalar operator (that is, ∆ is arbitrary). Holographic correlators corresponding to gluon and graviton amplitudes in AdS have been computed recently in [73][74][75]. It would be interesting to explore the double copy structure in this context.…”

Section: Jhep07(2021)033mentioning

confidence: 99%

Double copy structure of parity-violating CFT correlators

Jain

John

Mehta

et al. 2021

We show that general parity-violating 3d conformal field theories show a double copy structure for momentum space 3-point functions of conserved currents, stress tensor and marginal scalar operators. Splitting up the CFT correlator into two parts — called homogeneous and non-homogeneous — we show that double copy relations exist for each part separately. We arrive at similar conclusions regarding double copy structures using tree-level correlators of massless fields in dS4. We also discuss the flat space limit of these correlators. We further extend the double copy analysis to correlators involving higher-spin conserved currents, which suggests that the spin-s current correlator can be thought of as s copies of the spin one current correlator.

“…This formula was proved in [14] by using the massless scattering smearing kernel (global AdS). We will actually follow the proof [14] in appendix C. It also passes verification to work for supersymmetric theories, see e.g., [27][28][29][30][31][32][33].…”

Section: • Masslessmentioning

confidence: 99%

Notes on flat-space limit of AdS/CFT

2021

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