The Veneziano amplitude in AdS5 ×S3 from an 8-dimensional effective action
Abstract We study four-point functions of arbitrary half-BPS operators in a 4-dimensional N $$ \mathcal{N} $$ = 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 ada...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)010 |
| _version_ | 1797647464450228224 |
|---|---|
| author | R. Glew M. Santagata |
| author_facet | R. Glew M. Santagata |
| author_sort | R. Glew |
| collection | DOAJ |
| description | Abstract We study four-point functions of arbitrary half-BPS operators in a 4-dimensional N $$ \mathcal{N} $$ = 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 $$ \mathcal{N} $$ = 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. |
| first_indexed | 2024-03-11T15:16:37Z |
| format | Article |
| id | doaj.art-3cc924962b034121b908875f4443a12e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:16:37Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3cc924962b034121b908875f4443a12e2023-10-29T12:10:42ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023813110.1007/JHEP08(2023)010The Veneziano amplitude in AdS5 ×S3 from an 8-dimensional effective actionR. Glew0M. Santagata1Department of Physics, Astronomy and Mathematics, University of HertfordshireDepartment of Physics, National Taiwan UniversityAbstract We study four-point functions of arbitrary half-BPS operators in a 4-dimensional N $$ \mathcal{N} $$ = 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 $$ \mathcal{N} $$ = 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.https://doi.org/10.1007/JHEP08(2023)010AdS-CFT CorrespondenceScale and Conformal SymmetriesScattering Amplitudes |
| spellingShingle | R. Glew M. Santagata The Veneziano amplitude in AdS5 ×S3 from an 8-dimensional effective action Journal of High Energy Physics AdS-CFT Correspondence Scale and Conformal Symmetries Scattering Amplitudes |
| title | The Veneziano amplitude in AdS5 ×S3 from an 8-dimensional effective action |
| title_full | The Veneziano amplitude in AdS5 ×S3 from an 8-dimensional effective action |
| title_fullStr | The Veneziano amplitude in AdS5 ×S3 from an 8-dimensional effective action |
| title_full_unstemmed | The Veneziano amplitude in AdS5 ×S3 from an 8-dimensional effective action |
| title_short | The Veneziano amplitude in AdS5 ×S3 from an 8-dimensional effective action |
| title_sort | veneziano amplitude in ads5 s3 from an 8 dimensional effective action |
| topic | AdS-CFT Correspondence Scale and Conformal Symmetries Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP08(2023)010 |
| work_keys_str_mv | AT rglew thevenezianoamplitudeinads5s3froman8dimensionaleffectiveaction AT msantagata thevenezianoamplitudeinads5s3froman8dimensionaleffectiveaction AT rglew venezianoamplitudeinads5s3froman8dimensionaleffectiveaction AT msantagata venezianoamplitudeinads5s3froman8dimensionaleffectiveaction |