TY - JOUR
T1 - The Veneziano amplitude in AdS 5 × S 3 from an 8-dimensional effective action
AU - Glew, R.
AU - Santagata, M.
N1 - © The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/
PY - 2023/8/3
Y1 - 2023/8/3
N2 - We study four-point functions of arbitrary half-BPS operators in a 4-dimensional N = 2 SCFT with flavour group SO(8) at genus-zero and strong ’t Hooft coupling, corresponding — via AdS/CFT — to the (α′ expansion of the) Veneziano amplitude on an AdS5×S3 background. We adapt a procedure first proposed by Abl, Heslop and Lipstein in the context of AdS5×S5, and postulate the existence of an effective action in terms of an 8-dimensional scalar field valued in the adjoint of the flavour group. The various Kaluza-Klein correlators can then be computed by uplifting the standard AdS/CFT prescription to the full product geometry with AdS bulk-to-boundary propagators and Witten diagrams replaced by suitable AdS5×S3 versions. After elucidating the main features of the procedure, valid at all orders in α′, we show explicit results up to order α′5. The results provide further evidence of a novel relation between AdS×S and flat amplitudes — which made its first appearance in N = 4 SYM — that is perhaps the most natural extension of the well known flat-space limit proposed by Penedones to cases where AdS and S have the same radius.
AB - We study four-point functions of arbitrary half-BPS operators in a 4-dimensional N = 2 SCFT with flavour group SO(8) at genus-zero and strong ’t Hooft coupling, corresponding — via AdS/CFT — to the (α′ expansion of the) Veneziano amplitude on an AdS5×S3 background. We adapt a procedure first proposed by Abl, Heslop and Lipstein in the context of AdS5×S5, and postulate the existence of an effective action in terms of an 8-dimensional scalar field valued in the adjoint of the flavour group. The various Kaluza-Klein correlators can then be computed by uplifting the standard AdS/CFT prescription to the full product geometry with AdS bulk-to-boundary propagators and Witten diagrams replaced by suitable AdS5×S3 versions. After elucidating the main features of the procedure, valid at all orders in α′, we show explicit results up to order α′5. The results provide further evidence of a novel relation between AdS×S and flat amplitudes — which made its first appearance in N = 4 SYM — that is perhaps the most natural extension of the well known flat-space limit proposed by Penedones to cases where AdS and S have the same radius.
KW - Scattering Amplitudes
KW - AdS-CFT Correspondence
KW - Scale and Conformal Symmetries
UR - http://www.scopus.com/inward/record.url?scp=85167455586&partnerID=8YFLogxK
U2 - 10.1007/jhep08(2023)010
DO - 10.1007/jhep08(2023)010
M3 - Article
SN - 1126-6708
VL - 2023
SP - 1
EP - 31
JO - Journal of High Energy Physics (JHEP)
JF - Journal of High Energy Physics (JHEP)
IS - 8
M1 - 10
ER -