1. CPT, Ecole Polytechnique, Palaiseau, Cedex, France 2. Department of Mathematical Sciences, University of Durham, DH1 3LE, Durham, UK 3. STP, DIAS, 10 Burlington Road, Dublin 4, Ireland
Abstract:
We study some properties of a class ofn-dimensional models which have infinite dimensional groups of symmetry which include both the Euclidean and Minkowskian groups. We show that all classical solutions of these models are self-dual and can be related to mappings of then dimensional hyper-space into itself which locally preserve the volume.