Abstract
Carrollian holography is supposed to describe gravity in four-dimensional asymptotically flat space-time by the three-dimensional Carrollian CFT living at null infinity. We transform superstring scattering amplitudes into the correlation functions of primary fields of Carrollian CFT depending on the three-dimensional coordinates of the celestial sphere and a retarded time coordinate. The power series in the inverse string tension is converted to a whole tower of both UV and IR finite descendants of the underlying field-theoretical Carrollian amplitude. We focus on four-point amplitudes involving gauge bosons and gravitons in type I open superstring theory and in closed heterotic superstring theory at the tree-level. We also discuss the limit of infinite retarded time coordinates, where the string world-sheet becomes celestial.
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Acknowledgments
BZ would like to thank Tim Adamo, Wei Bu, Gerben Oling, and Piotr Tourkine for helpful discussions on related topics. This research was supported in part by grant NSF PHY-2309135 to the Kavli Institute for Theoretical Physics (KITP). TRT is supported by the National Science Foundation under Grants Number PHY-1913328 and PHY-2209903, by the NAWA Grant “Celestial Holography of Fundamental Interactions” and by the Simons Collaboration on Celestial Holography. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. BZ is supported by Royal Society.
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Stieberger, S., Taylor, T.R. & Zhu, B. Carrollian Amplitudes from Strings. J. High Energ. Phys. 2024, 127 (2024). https://doi.org/10.1007/JHEP04(2024)127
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DOI: https://doi.org/10.1007/JHEP04(2024)127