On Tachyon condensation and open-closed duality in the c=1 string theory

TL;DR

This paper provides an exact matrix model representation of decaying ZZ-branes in c=1 string theory, illustrating how they relate to shifts in the closed string background and clarifying the open-closed duality mechanism.

Contribution

It introduces a precise matrix model formulation for decaying ZZ-branes and demonstrates the open-closed duality through world-sheet summation in this context.

Findings

Exact matrix model representation of ZZ-branes

Demonstration of open-closed duality mechanism

Clarification of infrared and superselection sector issues

Abstract

We present an exact representation for decaying ZZ-branes within the dual matrix model formulation of c=1 string theory. It is shown how to trade the insertion of decaying ZZ-branes for a shift of the closed string background. Our formlaism allows us to demonstrate that the conjectured world-sheet mechanism behind the open-closed dualities (summing over disc insertions) is realized here in a clear way. On the way we need to clarify certain infrared issues - insertion of ZZ-branes creates solitonic superselection sectors.