Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.15174 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909551002910720 |
|---|---|
| author | Wang, Minjia Fan, Wei |
| author_facet | Wang, Minjia Fan, Wei |
| contents | 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 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15174 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The integrable Bullough-Dodd model under celestial holography Wang, Minjia Fan, Wei High Energy Physics - Theory 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 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. |
| title | The integrable Bullough-Dodd model under celestial holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.15174 |