D-instanton, threshold corrections, and topological string
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13130_2023_Article_20848.pdf
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Author(s)
Kim, Manki
Date Issued
May 12, 2023
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2023 May 12;2023(5):97
Version
Final published version
Abstract
Abstract
In this note, we prove that the one-loop pfaffian of the non-perturbative superpotential generated by Euclidean D-branes in type II compactifications on orientifolds of Calabi-Yau threefolds is determined by the moduli integral of the new supersymmetric index defined by Cecotti, Fendley, Intriligator, and Vafa. As this quantity can be computed via topological string theory, Chern-Simons theory, matrix models, or by solving the holomorphic anomaly equation, this result provides a method to directly compute the one-loop pfaffian of the non-perturbative superpotential. The relation between the one-loop pfaffian, threshold corrections to the gauge coupling, and the one-loop partition function of open topological string theory is discussed.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP05(2023)097
