T-duality of ZZ-brane

TL;DR

This paper investigates how nonperturbative effects, specifically ZZ-branes, transform under T-duality in noncritical string theory, showing their instanton actions remain invariant and providing formulas for their coefficients.

Contribution

It demonstrates the invariance of ZZ-brane instanton actions under T-duality and derives formulas for their coefficients in the dual theory.

Findings

ZZ-brane instanton actions are unchanged under T-duality

Formulas for coefficients of nonperturbative effects in the dual theory

Nonperturbative effects retain their form under T-duality

Abstract

We examine how nonperturbative effects in string theory are transformed under the T-duality in its nonperturbative framework by analyzing the c=1/2 noncritical string theory as a simplest example. We show that in the T-dual theory they also take the form of exp(-S_0/g_s) in the leading order and that the instanton actions S_0 of the dual ZZ-branes are exactly the same as those in the original c=1/2 string theory. Furthermore we present formulas for coefficients of exp(-S_0/g_s) in the dual theory.