Semi-classical stability of AdS NUT instantons
Claude Warnick
TL;DR
This paper investigates the one-loop semi-classical stability of various AdS NUT instantons, identifying unstable and stable branches through spectral analysis of perturbations in Euclidean Quantum Gravity.
Contribution
It provides the first detailed spectral stability analysis of AdS NUT instantons, distinguishing stable and unstable metric branches at the quantum level.
Findings
Instability found in one AdS-Taub-Bolt branch.
Other branches of AdS-Taub-Bolt are stable.
AdS-Taub-NUT family is stable.
Abstract
The semi-classical stability of several AdS NUT instantons is studied. Throughout, the notion of stability is that of stability at the one-loop level of Euclidean Quantum Gravity. Instabilities manifest themselves as negative eigenmodes of a modified Lichnerowicz Laplacian acting on the transverse traceless perturbations. An instability is found for one branch of the AdS-Taub-Bolt family of metrics and it is argued that the other branch is stable. It is also argued that the AdS-Taub-NUT family of metrics are stable. A component of the continuous spectrum of the modified Lichnerowicz operator on all three families of metrics is found.
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