SL(2, C) Instanton Sheaves

24th International Conference on Integrable Systems and Quantum symmetries

Lai, Sheng-Hong^1

Department of Electrophysics, National Chiao-Tung University, Hsinchu, Taiwan^1

关键词: Biquaternion;    Instantons;    Vector bundles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012027/pdf
DOI  :  10.1088/1742-6596/804/1/012027

来源: IOP

【 摘 要 】

We constructed SL(2, C) Yang-Mills instanton solutions which satisfy the complex ADHM equations and the monad construction by using the biquaternion method. And we also found that the SL(2, C) instanton solutions can be used to explicitly construct instanton sheaves on CP3which similar to the case holomorphic vector bundles on CP3of SU(2) ADHM construction. And the existence of these instanton sheaves is related to singularities on S4which do not exist in SU(2) instanton case.