  A Higgs-Yang Mills monopole scattering spherical symmetrically along light
cones is given. The left incoming anti-self-dual \alpha plane fields are
holomorphic, but the right outgoing SD \beta plane fields are antiholomorphic,
meanwhile the diffeomorphism symmetry is preserved with mutual inverse affine
rapidity parameters \mu and \mu^{-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.
