The integrable Bullough-Dodd model under celestial holography
Abstract We study celestial amplitudes for the S-matrix of the 2d integrable Bullough-Dodd model. This model has bound states that appear as poles in the physics strip of its 2d S-matrix, which complicates the computation of celestial amplitudes. However, it turns out that the celestial amplitudes a...
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2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)133 |
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| author | Minjia Wang Wei Fan |
| author_facet | Minjia Wang Wei Fan |
| author_sort | Minjia Wang |
| collection | DOAJ |
| description | Abstract We study celestial amplitudes for the S-matrix of the 2d integrable Bullough-Dodd model. This model has bound states that appear as poles in the physics strip of its 2d S-matrix, which complicates the computation of celestial amplitudes. However, it turns out that the celestial amplitudes are, in fact, well-structured. The celestial bootstrap (arising from the unitarity and crossing symmetry of 2d S-matrix) can be decomposed into a finite-dimensional linear space, whose base-integrals evaluate into harmonic numbers. This clean structure replaces the complicated integration with simple algebra of elementary functions, and the celestial bootstrap reduces to a programmable recursion process of simple algebra. Interestingly, this linear space has a subspace that happens to cover the celestial bootstrap of the Sinh-Gordon model studied by arXiv:2209.02776 . So the celestial dual of these 2d integrable models turns out to be ‘bootstrapable’ in the practical sense, that is, a programmable recursion process. |
| format | Article |
| id | doaj-art-8738e7204c6c43a080ebb38ca62a7add |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-8738e7204c6c43a080ebb38ca62a7add2025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025711910.1007/JHEP07(2025)133The integrable Bullough-Dodd model under celestial holographyMinjia Wang0Wei Fan1Department of Physics, School of Science, Jiangsu University of Science and TechnologyDepartment of Physics, School of Science, Jiangsu University of Science and TechnologyAbstract We study celestial amplitudes for the S-matrix of the 2d integrable Bullough-Dodd model. This model has bound states that appear as poles in the physics strip of its 2d S-matrix, which complicates the computation of celestial amplitudes. However, it turns out that the celestial amplitudes are, in fact, well-structured. The celestial bootstrap (arising from the unitarity and crossing symmetry of 2d S-matrix) can be decomposed into a finite-dimensional linear space, whose base-integrals evaluate into harmonic numbers. This clean structure replaces the complicated integration with simple algebra of elementary functions, and the celestial bootstrap reduces to a programmable recursion process of simple algebra. Interestingly, this linear space has a subspace that happens to cover the celestial bootstrap of the Sinh-Gordon model studied by arXiv:2209.02776 . So the celestial dual of these 2d integrable models turns out to be ‘bootstrapable’ in the practical sense, that is, a programmable recursion process.https://doi.org/10.1007/JHEP07(2025)133Conformal and W SymmetryField Theories in Lower DimensionsIntegrable Field TheoriesScattering Amplitudes |
| spellingShingle | Minjia Wang Wei Fan The integrable Bullough-Dodd model under celestial holography Journal of High Energy Physics Conformal and W Symmetry Field Theories in Lower Dimensions Integrable Field Theories Scattering Amplitudes |
| title | The integrable Bullough-Dodd model under celestial holography |
| title_full | The integrable Bullough-Dodd model under celestial holography |
| title_fullStr | The integrable Bullough-Dodd model under celestial holography |
| title_full_unstemmed | The integrable Bullough-Dodd model under celestial holography |
| title_short | The integrable Bullough-Dodd model under celestial holography |
| title_sort | integrable bullough dodd model under celestial holography |
| topic | Conformal and W Symmetry Field Theories in Lower Dimensions Integrable Field Theories Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP07(2025)133 |
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