Abstract
We study the perturbative S-matrix of closed strings in the two-dimensional type 0B string theory from the worldsheet perspective, by directly integrating correlation functions of \( \mathcal{N} \) = 1 Liouville theory. The latter is computed numerically using recurrence relations for super-Virasoro conformal blocks. We show that the tree level 3- and 4-point amplitudes are in agreement with the proposed dual matrix quantum mechanics. The non-perturbative aspects of the duality will be analyzed in a companion paper.
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Acknowledgments
We would like to thank Alexander Belavin for discussions. We are especially grateful to Ying-Hsuan Lin for sharing his code implementing a brute force calculation of super-Virasoro conformal blocks in verifying the recurrence relations. XY thanks Cargese Summer Institute, Aspen Center for Physics, Massachusetts Institute of Technology, VR and XY thank Kavli Institute for Theoretical Physics, for their hospitality during the course of this work. This work is supported in part by a Simons Investigator Award from the Simons Foundation, by the Simons Collaboration Grant on the Non-Perturbative Bootstrap, and by DOE grants DE-SC0007870 and DE-SC0009924.
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Balthazar, B., Rodriguez, V.A. & Yin, X. The S-matrix of 2D type 0B string theory. Part I. Perturbation theory revisited. J. High Energ. Phys. 2023, 234 (2023). https://doi.org/10.1007/JHEP05(2023)234
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DOI: https://doi.org/10.1007/JHEP05(2023)234