Unrecognizable Black Holes in Two Dimensions

TL;DR

This paper analyzes a two-dimensional cosmological black hole model, demonstrating that it lacks anomalies in its symmetries, implying the non-existence of recognizable black holes and their radiation within this theoretical framework.

Contribution

The paper provides an algebraic analysis showing the absence of anomalies in the symmetries of the 2D model, challenging the notion of black hole existence in this context.

Findings

No anomalies in BRST symmetry

Global symmetry remains anomaly-free

Black holes are unrecognizable in the model

Abstract

The classical 2D cosmological model of Callan, Giddings, Harvey and Strominger possesses a global symmetry that is responsible for decoupling of matter fields. The model is quantized on the basis of the extended phase space method to allow an exhaustive, algebraic analysis to find potential anomalies. Under a certain set of reasonable assumptions we show that neither the BRST symmetry of the theory nor the global symmetry suffers from an anomaly. From this we conclude that there is nothing to recognize the existence of black hole and therefore nothing to radiate in their cosmological model.