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arXiv · 2202.03448

Normalization of ZZ instanton amplitudes in minimal string theory

Dan Stefan Eniceicu·Raghu Mahajan·Chitraang Murdia·Ashoke Sen
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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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Dan Stefan Eniceicu, Raghu Mahajan, Chitraang Murdia, Ashoke Sen. 2022-02-07. Normalization of ZZ instanton amplitudes in minimal string theory. https://doi.org/10.1007/jhep07(2022)139

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