Uniqueness Criteria for the Virasoro-Shapiro Amplitude
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910922086285312 |
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| author | Cheung, Clifford Hillman, Aaron Remmen, Grant N. |
| author_facet | Cheung, Clifford Hillman, Aaron Remmen, Grant N. |
| contents | The scattering amplitudes of string theory exhibit many extraordinary properties. But are they the unique mathematical objects to do so? Recently, it has been shown how the spectrum and amplitudes of open string theory follow directly from the assumptions of faster than power-law falloff at high energies and a property dubbed level truncation. At present there is no analogous principle for closed string scattering, which is famously rigid and naively impervious to modification. In this paper we analytically bootstrap the spectrum and four-point amplitudes of the closed string -- together with a parameterized space of deformations -- from conditions on high-energy falloff and level truncation. While these deformations exhibit the same Regge scaling as pure gravity, in the tensionless limit they reproduce remarkable extremal amplitudes that have appeared in bottom-up studies of positivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03362 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniqueness Criteria for the Virasoro-Shapiro Amplitude Cheung, Clifford Hillman, Aaron Remmen, Grant N. High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology The scattering amplitudes of string theory exhibit many extraordinary properties. But are they the unique mathematical objects to do so? Recently, it has been shown how the spectrum and amplitudes of open string theory follow directly from the assumptions of faster than power-law falloff at high energies and a property dubbed level truncation. At present there is no analogous principle for closed string scattering, which is famously rigid and naively impervious to modification. In this paper we analytically bootstrap the spectrum and four-point amplitudes of the closed string -- together with a parameterized space of deformations -- from conditions on high-energy falloff and level truncation. While these deformations exhibit the same Regge scaling as pure gravity, in the tensionless limit they reproduce remarkable extremal amplitudes that have appeared in bottom-up studies of positivity. |
| title | Uniqueness Criteria for the Virasoro-Shapiro Amplitude |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2408.03362 |