Sheaf lines of Yang-Mills instanton sheaves

Sheng Hong Lai*, Jen-Chi Lee, I. Hsun Tsai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We calculate a sheaf line in CP 3 which is the real line supporting sheaf points on CP 3 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 CP 3 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.

Original languageEnglish
Article number1950036
JournalInternational Journal of Geometric Methods in Modern Physics
Issue number3
StatePublished - Mar 2019


  • Instanton
  • Yang-Mills theory
  • integrable system
  • sheaves


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