| Affine A3^（1） N = 2 Monopole as the D Module and AiTine ADHMN Sheaf |
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| 引用本文： | HOU Bo-Yu,;HOU Bo-Yuan. Affine A3^（1） N = 2 Monopole as the D Module and AiTine ADHMN Sheaf[J]. 理论物理通讯, 2008, 49(2): 439-450 |
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| 作者姓名： | HOU Bo-Yu, HOU Bo-Yuan |
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| 作者单位： | [1]Institute of Modern Physics, Northwest University, Xi＇an 710069, China [2]Graduate School, the Chinese Academy of Sciences, Beijing 100049, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant No. 90403019.Acknowledgments We would like to thank X.C. Song, K.J. Shi, K. Wu, S. Hu, Y.X. Chen, Y.Z. Zhang. R.H. Yue, L. Zhao, X.M. Ding, C.H. Xiong, X.H. Wang, and S.M. Ke for their helpful discussions and would like to thank J.B. Wu for helpful discussions and for the help in writing the preliminary version of this paper; thanks Simonsyang and Binlijunwang for their helpful discussions on the version 1 and version 2 of this paper. |
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| 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.
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| 关 键 词： | 磁单极子 希格斯介子 粒子物理学 球对称散射 |
Affine A(1)3 N = 2 Monopole as the D Module and Affine ADHMN Sheaf |
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| HOU Bo-Yu HOU Bo-Yuan. Affine A(1)3 N = 2 Monopole as the D Module and Affine ADHMN Sheaf[J]. Communications in Theoretical Physics, 2008, 49(2): 439-450 |
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| Authors: | HOU Bo-Yu HOU Bo-Yuan |
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| Abstract: | affine BPS monopole, affinized ADHMN sheaf, affinized Nahm transformation, ＇t Hooft-Hecke operator, geometric Langlands program |
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| Keywords: | affine BPS monopole affinized ADHMN sheaf affinized Nahm transformation ＇t Hooft-Hecke operator geometric Langlands program |
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