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The Action of Instantons with Nut Charge
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We examine the effect of a non-trivial nut charge on the action of non-compact four-dimensional instantons with a U(1) isometry. If the instanton action is calculated by dimensionally reducing along the isometry, then the nut charge is found to make an explicit non-zero contribution. For metrics satisfying AF, ALF or ALE boundary conditions, the action can be expressed entirely in terms of quantities (including the nut charge) defined on the fixed point set of the isometry. A source (or sink) of nut charge also implies the presence of a Misner string coordinate singularity, which will have an important effect on the Hamiltonian of the instanton.
Forward citations
Cited by 2 Pith papers
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Kerr-NUT Thermodynamics: Misner Strings and Nut Charges
A conserved charge built from the nut parameter and the Misner string parameter completes the first law of Kerr-NUT thermodynamics.
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Rotating and non-rotating AdS black holes in $f({\cal T})$ gravity non-linear electrodynamics
New charged AdS black hole solutions are constructed for quadratic f(T) gravity with a specific nonlinear electrodynamics source, generalizing earlier Maxwell solutions and producing entropy that deviates from the area law.
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