One-parameter family of selfdual solutions in classical Yang-Mills theory

The ADHM construction, which yields (anti-)selfdual configurations in classical Yang-Mills theories, is applied to an infinite dimensional l2 vector space, and as a consequence, a family of (anti-)selfdual configurations with a parameter q is obtained for SU(2) Yang-Mills theory. This l2 formulation can be seen as a q-analog of Nahmʹs monopole construction, so that the configuration approaches the BPS monopole at q→1 limit.