Abstract
We calculate numerically the torus one-point string diagram in the two-dimensional string cosmology background by decomposing the one-point functions in c = 1 and c = 25 Liouville CFT into torus one-point Virasoro conformal blocks and integrating over the fundamental domain of the torus moduli space. We find a remarkably simple result as a function of the outgoing closed string energy. This torus one-point diagram is expected to contribute to the one-point cosmological wavefunction at order gs, and to the four-point cosmological wavefunction at order \( {g}_s^2 \) through the disconnected product of the torus one-point diagram and the sphere three-point diagram.
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Acknowledgments
The author would like to thank Bruno Balthazar, Minjae Cho, Sergei Dubovsky, Victor Gorbenko, David Kutasov, Savdeep Sethi, and Xi Yin for useful discussions, Scott Collier, Lorenz Eberhardt, and Beatrix Muhlmann for discussions and collaboration on related projects, and Xi Yin for comments on a draft. This research is supported in part by the Simons Collaboration Grant on the Nonperturbative Bootstrap and by the Future Faculty in the Physical Sciences Fellowship at Princeton University.
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Rodriguez, V.A. The torus one-point diagram in two-dimensional string cosmology. J. High Energ. Phys. 2023, 50 (2023). https://doi.org/10.1007/JHEP07(2023)050
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DOI: https://doi.org/10.1007/JHEP07(2023)050