Semi-classical stability of AdS NUT instantons

Details Semi-classical stability of AdS NUT instantons Semi-classical stability of AdS NUT instantons

2006-02-13

arxiv.org/abs/hep-th/0602127v2

Class.Quant.Grav.23:3801-3817,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 3 figures; references added

Scientific paper

10.1088/0264-9381/23/11/008

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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