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