Abstract
It has been shown that a special set of three-point amplitudes between two massive spinning states and a graviton reproduces the linearised stress-energy tensor for a Kerr black hole in the classical limit. In this work we revisit this result and compare it to the analysis of the amplitudes describing the interaction of leading Regge states of the open and closed superstring. We find an all-spin result for the classical limit of two massive spinning states interacting with a photon or graviton. This result differs from Kerr and instead matches the current four-vector and the stress-energy tensor generated by a classical string coupled to electromagnetism and gravity respectively. For the superstring amplitudes, contrary to the black-hole case, we find that the spin to infinity limit is necessary to reproduce the classical spin multipoles.
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Acknowledgments
We especially thank Henrik Johansson, Kays Haddad and Paolo Di Vecchia for their contributions at early stages of this project, and many helpful discussions since. We would also like to thank Francesco Alessio, Maor Ben-Shahar, Chen Huang, Alexander Ochirov, Rodolfo Russo, Oliver Schlotterer and Justin Vines for enlightening discussions related to this work. We thank KITP for their hospitality during our stay at the “High-Precision Gravitational Waves” program, where part of this work was completed. This research was supported in part by the National Science Foundation under Grant No. NSF PHY-1748958. This research is supported in part by the Knut and Alice Wallenberg Foundation under grants KAW 2018.0116 (From Scattering Amplitudes to Gravitational Waves) and KAW 2018.0162 (Exploring a Web of Gravitational Theories through Gauge-Theory Methods), the Swedish Research Council under grant 621-2014-5722, and the Ragnar Söderberg Foundation (Swedish Foundations’ Starting Grant).
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Cangemi, L., Pichini, P. Classical limit of higher-spin string amplitudes. J. High Energ. Phys. 2023, 167 (2023). https://doi.org/10.1007/JHEP06(2023)167
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DOI: https://doi.org/10.1007/JHEP06(2023)167