Normalization of ZZ instanton amplitudes in minimal string theory
Dan Stefan Eniceicu, Raghu Mahajan, Chitraang Murdia, Ashoke Sen
Abstract
A bstract 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.