Carrollian partition functions and the flat limit of AdS
Abstract The formulation of the S-matrix as a path integral with specified asymptotic boundary conditions naturally leads to the realization of a Carrollian partition function defined on the boundary of Minkowski space. This partition function, specified at past and future null infinity in the case...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)183 |
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| author | Per Kraus Richard M. Myers |
| author_facet | Per Kraus Richard M. Myers |
| author_sort | Per Kraus |
| collection | DOAJ |
| description | Abstract The formulation of the S-matrix as a path integral with specified asymptotic boundary conditions naturally leads to the realization of a Carrollian partition function defined on the boundary of Minkowski space. This partition function, specified at past and future null infinity in the case of massless particles, generates Carrollian correlation functions that encode the S-matrix. We explore this connection, including the realization of symmetries, soft theorems arising from large gauge transformations, and the correspondence with standard momentum space amplitudes. This framework is also well-suited for embedding the Minkowski space S-matrix into the AdS/CFT duality in the large radius limit. In particular, we identify the AdS and Carrollian partition functions through a simple map between their respective asymptotic data, establishing a direct correspondence between the actions of symmetries on both sides. Our approach thus provides a coherent framework that ties together various topics extensively studied in recent and past literature. |
| format | Article |
| id | doaj-art-8b813d570f444289a64d9f4d8f36c951 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8b813d570f444289a64d9f4d8f36c9512025-02-09T12:08:23ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115410.1007/JHEP01(2025)183Carrollian partition functions and the flat limit of AdSPer Kraus0Richard M. Myers1Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics & Astronomy, University of CaliforniaMani L. Bhaumik Institute for Theoretical Physics, Department of Physics & Astronomy, University of CaliforniaAbstract The formulation of the S-matrix as a path integral with specified asymptotic boundary conditions naturally leads to the realization of a Carrollian partition function defined on the boundary of Minkowski space. This partition function, specified at past and future null infinity in the case of massless particles, generates Carrollian correlation functions that encode the S-matrix. We explore this connection, including the realization of symmetries, soft theorems arising from large gauge transformations, and the correspondence with standard momentum space amplitudes. This framework is also well-suited for embedding the Minkowski space S-matrix into the AdS/CFT duality in the large radius limit. In particular, we identify the AdS and Carrollian partition functions through a simple map between their respective asymptotic data, establishing a direct correspondence between the actions of symmetries on both sides. Our approach thus provides a coherent framework that ties together various topics extensively studied in recent and past literature.https://doi.org/10.1007/JHEP01(2025)183AdS-CFT CorrespondenceGlobal SymmetriesScattering Amplitudes |
| spellingShingle | Per Kraus Richard M. Myers Carrollian partition functions and the flat limit of AdS Journal of High Energy Physics AdS-CFT Correspondence Global Symmetries Scattering Amplitudes |
| title | Carrollian partition functions and the flat limit of AdS |
| title_full | Carrollian partition functions and the flat limit of AdS |
| title_fullStr | Carrollian partition functions and the flat limit of AdS |
| title_full_unstemmed | Carrollian partition functions and the flat limit of AdS |
| title_short | Carrollian partition functions and the flat limit of AdS |
| title_sort | carrollian partition functions and the flat limit of ads |
| topic | AdS-CFT Correspondence Global Symmetries Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2025)183 |
| work_keys_str_mv | AT perkraus carrollianpartitionfunctionsandtheflatlimitofads AT richardmmyers carrollianpartitionfunctionsandtheflatlimitofads |