Cyclic calorons Original Research Article

The Nahm data of periodic instantons, often called calorons, with spatial image-symmetries are considered, by applying Sutcliffeʼs ansatz for the monopoles with image-symmetries. The bulk data of calorons are shown to enjoy the periodic Toda lattice, and the solutions are given in terms of elliptic theta functions. The case of image calorons are investigated in detail. It is found that the “scale parameters” of these calorons have upper bounds in their values, so that they do not have the large scale, or monopole, limits. The instanton limit of the image-symmetric caloron is obtained.