Quantum Probes of Repulsive Singularities in N = 2 Supergravity
Ingo Gaida (DAMTP, University of Cambridge)
TL;DR
This paper investigates repulsive singularities in extended supergravity by analyzing scalar probes, showing the wave function vanishes at the singularity, and discusses their relation to higher-dimensional brane solutions.
Contribution
It provides a detailed analysis of repulsive singularities in supergravity using scalar probes and connects these to higher-dimensional p-brane solutions.
Findings
Wave function vanishes at the singularity
Scalar test-particle approach effective in studying repulsons
Links between repulsive singularities and p-brane solutions
Abstract
Repulsive singularities (repulsons) in extended supergravity theories are investigated. These repulsive singularities are related to attractive singularities (black holes) in moduli space of extended supergravity vacua. In order to study these repulsive singularities a scalar test-particle in the background of a repulson is investigated. It is shown, using a partial wave expansion, that the wave function of the scalar particle vanishes at the curvature singularity at the origin. In addition the connection to higher dimensional p-brane solutions including anti-branes is discussed.
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