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

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

1999-07-19

arxiv.org/abs/hep-th/9907153v1

Phys.Lett. B463 (1999) 257-262

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex, no figures

Scientific paper

10.1016/S0370-2693(99)00981-8

The ADHM construction, which yields (anti-)selfdual configurations in classical Yang-Mills theories, is applied to an infinite dimensional l^2 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 l^2 formulation can be seen as a q-analog of Nahm's monopole construction, so that the configuration approaches the BPS monopole at q->1 limit.

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