2017/08/09 by Sheng-Hong Lai, Lai, Sheng-Hong, Jen-Chi Lee +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1708.02853
28 pages, no figuree. v2: 29 pages, typos corrected and equations added v3: 29 pages, typos corrected and equations added v4: "SU(2) complex YM instanton" added. v5: 34 pages, Secs IV.C.1-IV.C.3 added. v6: a subsection "Discussion" added in the end; Refs [6],[7],[26],[27],[29]-[35] and [38]-[42] added
arxiv created 2020/01/21 · arxiv updated 2020/01/22
We calculate a sheaf line in CP3 which is the real line supporting sheaf points on CP3 of SL(2,C) Yang-Mills instanton (or SU(2) complex Yang-Mills instanton) sheaves for some given ADHM data we obtained previously. We found that this sheaf line is indeed a special jumping line over S4 spacetime. In addition, we calculate the singularity structure of the connection A and the field strength F at the corresponding singular point on S4 of this sheaf line. We found that the order of singularity at the singular point on S4 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.