Vortex-antivortex pair creation in black hole thermodynamics

An isolated critical point is a peculiar thermodynamic that occurs in the phase diagram of hyperbolic black holes Kth-order Lovelock gravity higher dimensions (with K odd) for special tuned coupling constants. It corresponds to "merger" two swallowtails and characterized by non-standard exponents. Upon employing recent proposal assigning topological charge points, we argue offers an interpretation corresponding onset transition "vortex/anti-vortex pair".