標題: | Sheaf lines of 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;Yang-Mills theory;sheaves;integrable system |
公開日期: | 1-三月-2019 |
摘要: | We calculate a sheaf line in CP3 which is the real line supporting sheaf points on CP3 of SL(2, C) Yang-Mills (YM) instanton (or SU(2) complex YM instanton) sheaves for some given ADHM data we obtained previously. We found that this sheaf line is indeed a special jumping line over S-4 spacetime. In addition, we calculate the singularity structure of the connection A and the field strength F at the corresponding singular point on S-4 of this sheaf line. We found that the order of singularity at the singular point on S-4 associated with the sheaf line in CP3 is higher than those of other singular points associated with normal jumping lines. We conjecture that this is a general feature for sheaf lines among jumping lines. |
URI: | http://dx.doi.org/10.1142/S0219887819500361 http://hdl.handle.net/11536/149040 |
ISSN: | 0219-8878 |
DOI: | 10.1142/S0219887819500361 |
期刊: | INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS |
Volume: | 16 |
顯示於類別: | 期刊論文 |