Affine A^{(1)}_{3} N=2 monopole as the D module and affine ADHMN sheaf

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dc.creatorHou, Bo-Yu
dc.creatorHou, Bo-Yuan
dc.date2006-12-19
dc.date2007-06-22
dc.date.accessioned2026-07-07T11:59:35Z
dc.date.available2026-07-07T11:59:35Z
dc.descriptionA Higgs-Yang Mills monopole scattering spherical symmetrically along light cones is given. The left incoming anti-self-dual αplane fields are holomorphic, but the right outgoing SD βplane fields are antiholomorphic, meanwhile the diffeomorphism symmetry is preserved with mutual inverse affine rapidity parameters μand μ^{-1}. The Dirac wave function scattering in this background also factorized respectively into the (anti)holomorphic amplitudes. The holomorphic anomaly is realized by the center term of a quasi Hopf algebra corresponding to an integrable conform affine massive field. We find explicit Nahm transformation matrix(Fourier-Mukai transformation) between the Higgs YM BPS (flat) bundles (D modules) and the affinized blow up ADHMN twistors (perverse sheafs). Thus establish the algebra for the Hecke-'t Hooft operators in the Hecke correspondence of the geometric Langlands Program.
dc.descriptionIdentical to the version 2 and only the acknowledgement is replaced
dc.identifierhttps://arxiv.org/abs/hep-th/0612198
dc.identifierhttp://arxiv.org/abs/hep-th/0612198
dc.identifierCommun.Theor.Phys.49:439-450,2008
dc.identifierdoi:10.1088/0253-6102/49/2/40
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206614
dc.subjectHigh Energy Physics - Theory
dc.titleAffine A^{(1)}_{3} N=2 monopole as the D module and affine ADHMN sheaf
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