An infinite number of potentials surrounding 2d black hole

TL;DR

This paper classifies an infinite set of potentials around 2D black holes based on scattering coefficients, proposing discrete states from Virasoro levels as potential modes.

Contribution

It introduces a novel classification of infinite potentials around 2D black holes and suggests discrete states as new potential modes.

Findings

Infinite potentials classified into three types: graviton-dilaton, tachyon, others.

Transmission and reflection coefficients used for classification.

Discrete states from Virasoro levels proposed as potential modes.

Abstract

We found an infinite number of potentials surrounding 2d black hole. According to the transmission ${\cal T}$ and reflection ${\cal R}$ coefficients for scattering of string fields off 2d black hole, we can classify an infinite number of potentials into three : graviton-dilaton, tachyon and the other types. We suggest that the discrete states from all the Virasoro levels be candidates for new potentials (modes).