Higher derivative quantum gravity with torsion in the conformally   Self-Dual Limit
  The path integral for higher-derivative quantum gravity with torsion is considered. Applying the methods of two-dimensional quantum gravity, this path integral is analyzed in the limit of conformally self-dual metrics. A scaling law for fixed-volume geometry is obtained. 
E. Elizalde and S.D.Odintsov (Department E.C.M., Faculty of Physics,   University of Barcelona, Spain)