(m,n) ZZ branes and the c=1 matrix model

TL;DR

This paper identifies the non-perturbative corrections in the c=1 matrix model as originating from (1,n) D-branes, confirming this through analysis of their behavior under Sine-Liouville perturbation.

Contribution

It establishes a direct link between non-perturbative effects in the c=1 matrix model and (1,n) D-branes, providing a new understanding of their origin.

Findings

Non-perturbative corrections are linked to (1,n) D-branes.

Flow of corrections matches between matrix model and D-brane descriptions.

Confirmation via Sine-Liouville perturbation analysis.

Abstract

We argue that the origin of non-perturbative corrections exp(-2\pi R n\mu) in the c=1 matrix model is (1,n) D-branes of Zamolodchikovs. We confirm this identification comparing the flow of these corrections under the Sine--Liouville perturbation in the two approaches.