Abstract
We study the effect of D-instantons on closed string scattering amplitudes in the two-dimensional type 0B string theory from the worldsheet perspective. We find that the contribution from a pair of D-instanton and anti-D-instanton to the closed string reflection amplitude, with a suitable contour prescription for the integration over the D-instanton moduli space, agrees with the corresponding leading non-perturbative corrections in the proposed dual matrix quantum mechanics. This analysis is further extended to thermal observables defined at finite temperature. The infrared divergence in charged processes is understood through the measure factor for charged D-instantons, and can be treated with spacetime dimensional regularization.
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Acknowledgments
We would like to thank Panos Betzios for discussions. 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 II. D-instanton effects. J. High Energ. Phys. 2023, 235 (2023). https://doi.org/10.1007/JHEP05(2023)235
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DOI: https://doi.org/10.1007/JHEP05(2023)235