Collective Field Description of Matrix Cosmologies

TL;DR

This paper explores the collective field approach to classical solutions in the c=1 matrix model, providing insights into nontrivial 2D string theory backgrounds and Fermi droplet cosmologies.

Contribution

It extends the collective field description to include finite Fermi droplet cosmologies and analyzes coordinate systems with trivial metrics in the theory.

Findings

Analysis of coordinate systems with trivial metrics

Inclusion of finite Fermi droplet cosmologies

Comments on interaction terms in collective field coordinates

Abstract

We study the Das-Jevicki collective field description of arbitrary classical solutions in the c=1 matrix model, which are believed to describe nontrivial spacetime backgrounds in 2d string theory. Our analysis naturally includes the case of a Fermi droplet cosmology: a finite size droplet of Fermi fluid, made up of a finite number of eigenvalues. We analyze properties of the coordinates in which the metric in the collective field theory is trivial, and comment on the form of the interaction terms in these coordinates.