ar X iv : h ep - t h / 98 09 03 5 v 1 4 S ep 1 99 8 Nut Charge , Anti - de Sitter Space and Entropy

It has been proposed that spacetimes with a U (1) isometry group have contributions to the entropy from Misner strings as well as from the area of d − 2 dimensional fixed point sets. In this paper we test this proposal by constructing Taub-Nut-AdS and Taub-Bolt-AdS solutions which are examples of a new class of asymptotically locally anti-de Sitter spaces. We find that with the additional contribution from the Misner strings, we exactly reproduce the en-tropy calculated from the action by the usual thermodynamic relations. This entropy has the right parameter dependence to agree with the entropy of a conformal field theory on the boundary, which is a squashed three-sphere, at least in the limit of large squashing. However the conformal field theory and the normalisation of the entropy remain to be determined.