Abstract
We use insights from string field theory to analyze and cure the divergences in the cylinder diagram in minimal string theory with both boundaries lying on a ZZ brane. We focus on theories with worldsheet matter consisting of the (2, p) minimal model plus Liouville theory, with total central charge 26, together with the usual bc-ghosts. The string field theory procedure gives a finite, purely imaginary normalization constant for non-perturbative effects in minimal string theory, or doubly non-perturbative effects in JT gravity. We find precise agreement with the prediction from the dual double-scaled one-matrix integral. We also make a few remarks about the extension of this result to the more general (p′, p) minimal string.
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Eniceicu, D.S., Mahajan, R., Murdia, C. et al. Normalization of ZZ instanton amplitudes in minimal string theory. J. High Energ. Phys. 2022, 139 (2022). https://doi.org/10.1007/JHEP07(2022)139
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DOI: https://doi.org/10.1007/JHEP07(2022)139