A Matrix Model with BMS${}_3$ Constraints

Abstract

Our goal is to find a matrix model with $BM{S}_3$ 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.

Published version with additional signs and numerical factors fixed

References in corpus (2)

• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Topological Matrix Models, Liouville Matrix Model and c=1 String Theory