Abstract
We compute the disk amplitude of three closed strings in the pure spinor formalism. Among others, this amplitude probes tree-level gravitational interactions in the presence of Dp-branes. After disentangling holomorphic and anti-holomorphic closed string coordinates on the disk by means of introducing monodromy phases we find a compact expression for the disk amplitude of three closed strings in terms of open superstring six-point amplitudes. Furthermore, we provide the low-energy expansion (in the inverse string tension) of our amplitude and discuss some relevant Dp-brane couplings associated to it. Finally, we write down an expression for the general structure of the disk amplitude of any number nc of closed strings in terms of pure open string amplitudes involving 2nc open strings.
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Acknowledgments
We thank Alice Aldi, Ralph Blumenhagen, Ulf Danielsson, Carlos Mafra, Gianfranco Pradisi, and Oliver Schlotterer for useful discussions. The work of M.H. is supported by the Origins Excellence Cluster in Munich.
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Bischof, A., Haack, M. & Stieberger, S. Scattering three closed strings off a Dp-brane in pure spinor formalism. J. High Energ. Phys. 2023, 184 (2023). https://doi.org/10.1007/JHEP10(2023)184
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DOI: https://doi.org/10.1007/JHEP10(2023)184