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20 April 2024
 
  » arxiv » 1603.2860

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Yang-Mills Instanton Sheaves
Sheng-Hong Lai ; Jen-Chi Lee ; I-Hsun Tsai ;
Date 9 Mar 2016
AbstractThe 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 CP^3 similar to the case of SU(2) ADHM construction, the SL(2,C) instanton solutions can be used to explicitly construct instanton sheaves on CP^3. Presumably, the existence of these instanton sheaves is related to the jumping lines of the SL(2,C) instantons on S^4 which do not exist for SU(2) instantons.
Source arXiv, 1603.2860
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