A matrix model black hole: act II

TL;DR

This paper explores the relationship between deformed matrix models and two-dimensional black holes within fermionic 0A-string theory, confirming previous results and elucidating how black hole properties are reflected in matrix models.

Contribution

It demonstrates the consistency of deformed matrix models with 0A-string theory black holes and shows how black hole metrics are encoded in matrix model correlators.

Findings

Correlation functions agree between continuum and matrix model calculations

Properties of 0A black hole metrics are reflected in the matrix model

Old results extend to the fermionic 0A-string theory setting

Abstract

In this paper we discuss the connection between the deformed matrix model and two dimensional black holes in the light of the new developements involving fermionic type 0A-string theory. We argue that many of the old results can be carried over to this new setting and that the original claims about the deformed matrix model are essentially correct. We show the agreement between correlation functions calculated using continuum and matrix model techniques. We also explain how detailed properties of the space time metric of the extremal black hole of type 0A are reflected in the deformed matrix model.