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Veneziano amplitude in any dimension and a Virasoro-Shapiro partial amplitude

Christian Baadsgaard Jepsen

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Phys. Rev. D 112, 066011 – Published 18 September, 2025

DOI: https://doi.org/10.1103/3xb3-5yyc

Abstract

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.

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Phys. Rev. D 112, 066011– Published 18 September, 2025
  • Received 2 July 2025
  • Accepted 3 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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