A q-analog of the ADHMN construction and axisymmetric multi-instantons

dc.creatorKamata, Masaru
dc.creatorNakamula, Atsushi
dc.date2001-08-25
dc.date.accessioned2026-07-07T10:53:38Z
dc.date.available2026-07-07T10:53:38Z
dc.descriptionIn the preceding paper (Phys. Lett. B463 (1999) 257), the authors presented a q-analog of the ADHMN construction and obtained a family of anti-selfdual configurations with a parameter q for classical SU(2) Yang-Mills theory in four-dimensional Euclidean space. The family of solutions can be seen as a q-analog of the single BPS monopole preserving (anti-)selfduality. Further discussion is made on the relation to axisymmetric ansatz on anti-selfdual equation given by Witten in the late seventies. It is found that the q-exponential functions familiar in q-analysis appear as analytic functions categorizing the anti-selfdual configurations yielded by axisymmetric ansatz.
dc.description11pages, Latex2e, to appear in Journal of Physics A: Mathematical and General as a `Special Issue/Difference Equations'
dc.identifierhttps://arxiv.org/abs/hep-th/0108188
dc.identifierhttp://arxiv.org/abs/hep-th/0108188
dc.identifierJ.Phys.A34:10441-10452,2001
dc.identifierdoi:10.1088/0305-4470/34/48/309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185550
dc.subjectHigh Energy Physics - Theory
dc.titleA q-analog of the ADHMN construction and axisymmetric multi-instantons
dc.typetext

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