Instabilities in the gravitational background and string theory

TL;DR

This paper investigates potential instabilities in two-dimensional black hole backgrounds within string theory, exploring their origins in conformal field theory operators and discussing possible decay processes related to Hawking radiation.

Contribution

It identifies relevant operators causing instability and discusses their connection to black hole decay and Hawking radiation in string theory contexts.

Findings

Relevant operators are linked to instability in the 2D black hole background.

Connection between instability and Hawking radiation remains unclear.

Speculation on decay of Minkowski black hole into flat space at finite temperature.

Abstract

We indicate the tentative source of instability in the two-dimensional black hole background. There are relevant operators among the tachyon and the higher level vertex operators in the conformal field theory. Connection of this instability with Hawking radiation is not obvious. The situation is somewhat analogous to fields in the background of a negative mass Euclidean Schwarzschild solution (in four dimensions). Speculation is made about decay of the Minkowski black hole into finite temperature flat space.