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

The ADHM construction, which yields (anti-)selfdual configurations in class ical Yang-Mills theories, is applied to an infinite dimensional l(2) vector space, and as a consequence, a family of (anti-)selfdual configurations wi th a parameter q is obtained for SU(2) Yang-Mills theory. This l(2) formula tion can be seen as a cl-analog of Nahm's monopole construction, so that th e configuration approaches the BPS monopole at q --> 1 limit. (C) 1999 Publ ished by Elsevier Science B.V. All rights reserved.