String Interactions in c=1 Matrix Model

TL;DR

This paper investigates string interactions within the c=1 matrix model, providing a nonperturbative description of the rolling tachyon and comparing fermionic computations with string theory diagrams.

Contribution

It offers a precise nonperturbative description of the rolling tachyon state and computes D0-brane interactions, bridging matrix model and string theory perspectives.

Findings

Computed D0-brane interactions using free fermions

Compared matrix model results with string cylinder diagrams

Provided insights into nonperturbative string dynamics

Abstract

We study string interactions in the fermionic formulation of the c=1 matrix model. We give a precise nonperturbative description of the rolling tachyon state in the matrix model, and discuss S-matrix elements of the c=1 string. As a first step to study string interactions, we compute the interaction of two decaying D0-branes in terms of free fermions. This computation is compared with the string theory cylinder diagram using the rolling tachyon ZZ boundary states.