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We examine the thermodynamics of Euclidean dyonic Taub-NUT/Bolt-AdS4 blackholes for a variety of horizon geometries to understand how gauge fieldregularity conditions influence the thermodynamic relations. We find severaldistinct features that distinguish the NUT-charged case from its dyonicReissner-Nordstrom counterpart. For the NUT solution, the gauge field vanishesat the horizon and so regularity is ensured. For the Bolt solution we find thatthe norm of the gauge field is required to vanish at the horizon in order tosatisfy both regularity and the first law of thermodynamics. This regularitycondition yields a constraint on the electric and magnetic charges and soreduces cohomogeneity of the system; for spherical horizons, the regularitycondition removing the Misner string singularity further reduces cohomogeneity,We observe that bolt solutions with increasing electric charge have positiveheat capacity, but upon turning on the magnetic charge to make the solutiondyonic, we find that the properties of the uncharged one are retained, havingboth positive and negative heat capacity. We also study the extremal Boltsolution, finding that Misner string disappears at the horizon in the zerotemperature limit. We find that the extremal solution hasfinite-temperature-like behaviour, with the electric potential playing a rolesimilar to temperature.

Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime