Semi-classical stability of AdS NUT instantons
نویسنده
چکیده
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.
منابع مشابه
Harmonic functions and instanton moduli spaces on the multi-Taub–NUT space
Explicit construction of the basic SU(2) anti-instantons over the multi-Taub–NUT geometry via the classical conformal rescaling method is exhibited. These anti-instantons satisfiy the so-called weak holonomy condition at infinity with respect to the trivial flat connection and decay rapidly. The resulting unital energy anti-instantons have trivial holonomy at infinity. We also fully describe th...
متن کاملThe Geodesic Motion on Generalized Taub-nut Gravitational Instantons
A class of generalized Taub-NUT gravitational instantons is reported in five dimensional Einstein gravity coupled to a non-linear sigma model. The geodesic dynamics of a spinless particle of unit mass on these static gravitational instantons is studied. This is accomplished by finding a generalized Runge-Lenz vector. Unlike the Kepler problem, or, the dynamics of a spinless particle on the fami...
متن کاملGravitational Instantons Derived from Minimal Surfaces
The interest in instantons originates from the discovery of finite-action solutions of the classical Yang-Mills equations, instantons [1]-[3], which are localized in imaginary time. They provide the dominant contribution to the path-integral in the quantization of the Yang-Mills fields. The expectation that their gravitational counterparts should play a similar role in the path-integral approac...
متن کاملStability in Asymptotically AdS Spaces
We discuss two types of instabilities which may arise in string theory compactified to asymptotically AdS spaces: perturbative, due to discrete modes in the spectrum of the Laplacian, and non-perturbative, due to brane nucleation. In the case of three dimensional Einstein manifolds, we completely characterize the presence of these instabilities, and in higher dimensions we provide a partial cla...
متن کاملThermodynamics of ( d + 1 ) - dimensional NUT - charged AdS Spacetimes
We consider the thermodynamic properties of (d+ 1)-dimensional spacetimes with NUT charges. Such spacetimes are asymptotically locally anti de Sitter (or flat), with non-trivial topology in their spatial sections, and can have fixed point sets of the Euclidean time symmetry that are either (d − 1)-dimensional (called ”bolts”) or of lower dimensionality (pure ”NUTs”). We compute the free energy,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006