The Veneziano amplitude in \(\mathrm{AdS}_5\times\mathrm{S}^3\) from an 8-dimensional effective action

DOI10.1007/JHEP08(2023)010arXiv2305.01013OpenAlexW4385597292MaRDI QIDQ6050306

Author name not available (Why is that?)

Publication date: 12 October 2023

Published in: (Search for Journal in Brave)

Abstract: We study four-point functions of arbitrary half-BPS operators in a 4-dimensional $mathcalN=2$ SCFT with flavour group $SO(8)$ at genus-zero and strong 't Hooft coupling, corresponding - via AdS/CFT - to the ($alph{a}^{\prime }$ expansion of the) Veneziano amplitude on an AdS${}_{5}imes$S${}^3$ background. We adapt a procedure first proposed by Abl, Heslop and Lipstein in the context of AdS${}_{5}imes$S${}^5$, 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 AdS${}_{5}imes$S${}^3$ versions. After elucidating the main features of the procedure, valid at all orders in $alph{a}^{\prime }$, we show explicit results up to order $alpha{\text{'}}^5$. The results provide further evidence of a novel relation between AdS$imes$S and flat amplitudes - which made its first appearance in $mathcalN=4$ 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.

Full work available at URL: https://arxiv.org/abs/2305.01013

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: The Veneziano amplitude in \(\mathrm{AdS}_5\times\mathrm{S}^3\) from an 8-dimensional effective action

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6050306)