標題: | Yang-Mills instanton sheaves |
作者: | Lai, Sheng-Hong Lee, Jen-Chi Tsai, I-Hsun 電子物理學系 Department of Electrophysics |
關鍵字: | Instanton sheaves;Monad construction;Singularities of gauge fields;SL(2, C) Yang-Mills instanton;Biquaternion ADHM construction |
公開日期: | 1-二月-2017 |
摘要: | The SL(2, C) Yang-Mills instanton solutions constructed recently by the biquaternion method were shown to satisfy the complex version of the ADHM equations and the monad construction. Moreover, we discover that, in addition to the holomorphic vector bundles on CP3 similar to the case of SU(2) ADHM construction, the SL(2, C) instanton solutions can be used to explicitly construct instanton sheaves on CP3. Presumably, the existence of these instanton sheaves is related to the singularities of the SL(2, C) instantons on S-4 which do not exist for SU(2) instantons. (C) 2016 Elsevier Inc. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.aop.2016.10.012 http://hdl.handle.net/11536/146072 |
ISSN: | 0003-4916 |
DOI: | 10.1016/j.aop.2016.10.012 |
期刊: | ANNALS OF PHYSICS |
Volume: | 377 |
起始頁: | 446 |
結束頁: | 465 |
顯示於類別: | 期刊論文 |