The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop
Abstract We derive an optical theorem for perturbative CFTs which computes the double discontinuity of conformal correlators from the single discontinuities of lower order correlators, in analogy with the optical theorem for flat space scattering amplitudes. The theorem takes a purely multiplicative...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)088 |
| _version_ | 1819117981667426304 |
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| author | António Antunes Miguel S. Costa Tobias Hansen Aaditya Salgarkar Sourav Sarkar |
| author_facet | António Antunes Miguel S. Costa Tobias Hansen Aaditya Salgarkar Sourav Sarkar |
| author_sort | António Antunes |
| collection | DOAJ |
| description | Abstract We derive an optical theorem for perturbative CFTs which computes the double discontinuity of conformal correlators from the single discontinuities of lower order correlators, in analogy with the optical theorem for flat space scattering amplitudes. The theorem takes a purely multiplicative form in the CFT impact parameter representation used to describe high-energy scattering in the dual AdS theory. We use this result to study four-point correlation functions that are dominated in the Regge limit by the exchange of the graviton Regge trajectory (Pomeron) in the dual theory. At one-loop the scattering is dominated by double Pomeron exchange and receives contributions from tidal excitations of the scattering states which are efficiently described by an AdS vertex function, in close analogy with the known Regge limit result for one-loop string scattering in flat space at finite string tension. We compare the flat space limit of the conformal correlator to the flat space results and thus derive constraints on the one-loop vertex function for type IIB strings in AdS and also on general spinning tree level type IIB amplitudes in AdS. |
| first_indexed | 2024-12-22T05:41:37Z |
| format | Article |
| id | doaj.art-2afd6b16f45341838a2ff8853120f249 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T05:41:37Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2afd6b16f45341838a2ff8853120f2492022-12-21T18:37:11ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021416910.1007/JHEP04(2021)088The perturbative CFT optical theorem and high-energy string scattering in AdS at one loopAntónio Antunes0Miguel S. Costa1Tobias Hansen2Aaditya Salgarkar3Sourav Sarkar4Centro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoCentro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoMathematical Institute, University of OxfordCentro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoCentro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoAbstract We derive an optical theorem for perturbative CFTs which computes the double discontinuity of conformal correlators from the single discontinuities of lower order correlators, in analogy with the optical theorem for flat space scattering amplitudes. The theorem takes a purely multiplicative form in the CFT impact parameter representation used to describe high-energy scattering in the dual AdS theory. We use this result to study four-point correlation functions that are dominated in the Regge limit by the exchange of the graviton Regge trajectory (Pomeron) in the dual theory. At one-loop the scattering is dominated by double Pomeron exchange and receives contributions from tidal excitations of the scattering states which are efficiently described by an AdS vertex function, in close analogy with the known Regge limit result for one-loop string scattering in flat space at finite string tension. We compare the flat space limit of the conformal correlator to the flat space results and thus derive constraints on the one-loop vertex function for type IIB strings in AdS and also on general spinning tree level type IIB amplitudes in AdS.https://doi.org/10.1007/JHEP04(2021)088Conformal Field TheorySuperstrings and Heterotic StringsAdS-CFT CorrespondenceSpace-Time Symmetries |
| spellingShingle | António Antunes Miguel S. Costa Tobias Hansen Aaditya Salgarkar Sourav Sarkar The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop Journal of High Energy Physics Conformal Field Theory Superstrings and Heterotic Strings AdS-CFT Correspondence Space-Time Symmetries |
| title | The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop |
| title_full | The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop |
| title_fullStr | The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop |
| title_full_unstemmed | The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop |
| title_short | The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop |
| title_sort | perturbative cft optical theorem and high energy string scattering in ads at one loop |
| topic | Conformal Field Theory Superstrings and Heterotic Strings AdS-CFT Correspondence Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP04(2021)088 |
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