Affine A_3^((1)) N=2 Monopole as the D Module and Aftine ADHMN Sheaf  

作　　者：HOU Bo-Yu HOU Bo-Yuan 

机构地区：[1]Institute of Modern Physics, Northwest University, Xi＇an 710069, China [2]Graduate School, the Chinese Academy of Sciences, Beijing 100049, China

出　　处：《Communications in Theoretical Physics》2008年第2期439-450,共12页理论物理通讯（英文版）

基　　金：National Natural Science Foundation of China under Grant No.90403019

摘　　要：A Higgs-Yang-Mills monopole scattering spherical symmetrically along light cones is given. The left incoming anti-self-dual α plane fields are holomorphic, but the right outgoing SD β plane fields are antiholomorphic, meanwhile the diffeomorphism symmetry is preserved with mutual inverse afiine rapidity parameters μ and 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 conformal affine massive field. We find explicit Nahm transformation matrix （Fourier Mukai transformation） between the Higgs YM BPS （fiat） bundles （1） modules） and the affinized blow up ADHMN twistors （perverse sheafs）. Thus we establish the algebra for the ＇t Hooft Hecke operators in the Hecke correspondence of the geometric Langlands program.

关 键 词：affine BPS monopole affinized ADHMN sheaf affinized Nahm transformation ＇t Hooft-Hecke operator geometric Langlands program 

分 类 号：O572.2[理学—粒子物理与原子核物理]