Comments on the D-instanton calculus in (p,p+1) minimal string theory

TL;DR

This paper analyzes the role of ZZ branes (D-instantons) in (p,p+1) minimal string theory using continuum loop equations and string field theory, providing explicit calculations of partition functions and amplitudes.

Contribution

It demonstrates how to investigate ZZ branes within continuum string field theory and explicitly computes their partition functions for arbitrary p.

Findings

Partition function of a single ZZ brane calculated for any p

Annulus amplitudes of ZZ branes correctly reproduced

Framework simplifies analysis of D-instantons in minimal string theory

Abstract

The FZZT and ZZ branes in (p,p+1) minimal string theory are studied in terms of continuum loop equations. We show that systems in the presence of ZZ branes (D-instantons) can be easily investigated within the framework of the continuum string field theory developed by Yahikozawa and one of the present authors (hep-th/9609210). We explicitly calculate the partition function of a single ZZ brane for arbitrary p. We also show that the annulus amplitudes of ZZ branes are correctly reproduced.