The Veneziano Amplitude in any Dimension and a Virasoro-Shapiro Partial Amplitude
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915520762085376 |
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| author | Jepsen, Christian Baadsgaard |
| author_facet | Jepsen, Christian Baadsgaard |
| contents | This paper demonstrates how the Veneziano partial amplitude of bosonic string theory admits a generalization to world-(hyper)surfaces of any dimension $d$. In particular, for $d=2$, by carving up the worldsheet integral according to stipulations imposed on conformal cross ratios, the Virasoro-Shapiro full amplitude can be decomposed into a sum of three partial amplitudes. The amplitudes obtained on generalizing the Veneziano amplitude all contain tachyons. To explore candidate tachyon-free and supersymmetric versions of these amplitudes, a new bootstrap principle is introduced and applied, which demands that towers of residues alternate between all-even and all-odd spin partial waves. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_05253 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Veneziano Amplitude in any Dimension and a Virasoro-Shapiro Partial Amplitude Jepsen, Christian Baadsgaard High Energy Physics - Theory This paper demonstrates how the Veneziano partial amplitude of bosonic string theory admits a generalization to world-(hyper)surfaces of any dimension $d$. In particular, for $d=2$, by carving up the worldsheet integral according to stipulations imposed on conformal cross ratios, the Virasoro-Shapiro full amplitude can be decomposed into a sum of three partial amplitudes. The amplitudes obtained on generalizing the Veneziano amplitude all contain tachyons. To explore candidate tachyon-free and supersymmetric versions of these amplitudes, a new bootstrap principle is introduced and applied, which demands that towers of residues alternate between all-even and all-odd spin partial waves. |
| title | The Veneziano Amplitude in any Dimension and a Virasoro-Shapiro Partial Amplitude |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.05253 |