A Matrix Model with BMS$_3$ Constraints

TL;DR

This paper constructs a matrix model incorporating BMS$_3$ constraints via loop equations, solving it with free field realization, and explores its partition function and connections to integrable systems.

Contribution

It introduces a novel matrix model with BMS$_3$ constraints, solved through free field realization, and analyzes its partition function and integrable system relations.

Findings

Partition function expressed in eigenvalue form

Connection established between the matrix model and integrable systems

Solution achieved using free field realization of BMS$_3$ algebra

Abstract

Our goal is to find a matrix model with $BMS_3$ constraints built in. These constraints are imposed through Loop equations. We solve them using a free field realisation of the algebra and write down the partition function in eigenvalue form. We comment on the nature of this partition function and it's relations with integrable systems.