Supersymmetry of the extreme rotating toroidal black hole

We study the supersymmetry of the charged rotating toroidal black hole solu tions found by Lemos and Zanchin. and show that the only configurations tha t are supersymmetric are: (i) the non-rotating electrically charged naked s ingularities already studied by Caldarelli and Klemm, and (ii) an extreme r otating toroidal black hole with zero magnetic and electric charges. For th is latter cast, the extreme uncharged black hole, we calculate the Killing spinors and show that the configuration preserves the same supersymmetries as the background spacetime. (C) 2001 Elsevier Science B.V. All rights rese rved.