Light-cone actions and correlators of self-dual theories in AdS4
Abstract Self-dual Yang-Mills and Einstein gravity in Euclidean AdS4 are useful toy models because they can be described by simple scalar Lagrangians exhibiting a new manifestation of the colour/kinematics duality, as recently shown by two of the authors. In this paper, we clarify how the self-dual...
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| Main Authors: | , , , , , |
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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)172 |
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| author | Chandramouli Chowdhury George Doran Arthur Lipstein Ricardo Monteiro Silvia Nagy Kajal Singh |
| author_facet | Chandramouli Chowdhury George Doran Arthur Lipstein Ricardo Monteiro Silvia Nagy Kajal Singh |
| author_sort | Chandramouli Chowdhury |
| collection | DOAJ |
| description | Abstract Self-dual Yang-Mills and Einstein gravity in Euclidean AdS4 are useful toy models because they can be described by simple scalar Lagrangians exhibiting a new manifestation of the colour/kinematics duality, as recently shown by two of the authors. In this paper, we clarify how the self-dual sectors fit into the full theories. In particular, we explicitly construct the light-cone action for Yang-Mills theory and Einstein gravity in AdS4 in terms of positive and negative helicity fields, where we are able to pinpoint the self-dual sector as expected. We then show that the boundary correlators of these theories take a remarkably simple form in terms of Feynman diagrams in half of flat space, acted on by certain differential operators. We also analyse their soft limits and show that they exhibit Weinberg-like soft factors, where the soft pole which appears in scattering amplitudes is replaced by a derivative with respect to the energy. |
| format | Article |
| id | doaj-art-556cc58a0ee24c4a963c8e9b266a377d |
| 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-556cc58a0ee24c4a963c8e9b266a377d2025-02-09T12:07:53ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115710.1007/JHEP01(2025)172Light-cone actions and correlators of self-dual theories in AdS4Chandramouli Chowdhury0George Doran1Arthur Lipstein2Ricardo Monteiro3Silvia Nagy4Kajal Singh5Mathematical Sciences and STAG Research Centre, University of SouthamptonCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonDepartment of Mathematical Sciences, Durham UniversityCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonDepartment of Mathematical Sciences, Durham UniversityDepartment of Mathematical Sciences, University of LiverpoolAbstract Self-dual Yang-Mills and Einstein gravity in Euclidean AdS4 are useful toy models because they can be described by simple scalar Lagrangians exhibiting a new manifestation of the colour/kinematics duality, as recently shown by two of the authors. In this paper, we clarify how the self-dual sectors fit into the full theories. In particular, we explicitly construct the light-cone action for Yang-Mills theory and Einstein gravity in AdS4 in terms of positive and negative helicity fields, where we are able to pinpoint the self-dual sector as expected. We then show that the boundary correlators of these theories take a remarkably simple form in terms of Feynman diagrams in half of flat space, acted on by certain differential operators. We also analyse their soft limits and show that they exhibit Weinberg-like soft factors, where the soft pole which appears in scattering amplitudes is replaced by a derivative with respect to the energy.https://doi.org/10.1007/JHEP01(2025)172AdS-CFT CorrespondenceScattering Amplitudes |
| spellingShingle | Chandramouli Chowdhury George Doran Arthur Lipstein Ricardo Monteiro Silvia Nagy Kajal Singh Light-cone actions and correlators of self-dual theories in AdS4 Journal of High Energy Physics AdS-CFT Correspondence Scattering Amplitudes |
| title | Light-cone actions and correlators of self-dual theories in AdS4 |
| title_full | Light-cone actions and correlators of self-dual theories in AdS4 |
| title_fullStr | Light-cone actions and correlators of self-dual theories in AdS4 |
| title_full_unstemmed | Light-cone actions and correlators of self-dual theories in AdS4 |
| title_short | Light-cone actions and correlators of self-dual theories in AdS4 |
| title_sort | light cone actions and correlators of self dual theories in ads4 |
| topic | AdS-CFT Correspondence Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2025)172 |
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