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


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 S4 which do not exist for SU(2) instantons.

Original languageEnglish
Pages (from-to)446-465
Number of pages20
JournalAnnals of Physics
StatePublished - 1 Feb 2017


  • Biquaternion ADHM construction
  • Instanton sheaves
  • Monad construction
  • SL(2,C) Yang–Mills instanton
  • Singularities of gauge fields

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