Instantons in c=0 CSFT

TL;DR

This paper explores the emergence of D-brane instanton solutions within c=0 noncritical string theory, using matrix collective field theory to identify instanton effects and address related theoretical subtleties.

Contribution

It demonstrates the appearance of D-instanton solutions in a field theoretic framework, connecting matrix collective field theory with string theory instanton phenomena.

Findings

Identification of D-instanton solutions in matrix collective field theory

Discussion of the field equations and their relation to string equations

Analysis of the finite N exclusion principle's role

Abstract

Following the recent work of hep-th/0405076 we discuss the emergence of D-brane instanton solutions in c=0 noncritical string theory. Our emphasis is on finding the D-instanton effects in a field theoretic setting. Using the framework of single matrix collective field theory (CSFT) we exhibit the appearance of such solutions. Some subtle issues regarding the form of the field theory equations, the comparison with string equations and the importance of a finite N exclusion principle are also discussed.