2018/07/31 by Sheng-Hong Lai, Lai, Sheng-Hong, Jen-Chi Lee +3
Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.48550/arxiv.1807.11763
37 pages, no figure V2: 44 pages, examples added, Eqs.(4.142)-(4.174) ("Extended complex YM 2-instanton field strength") and Eqs.(4.205)-(4.226) are new
openalex publication_date 2018/07/31 · arxiv created 2018/09/25 · arxiv updated 2018/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the search of YM instanton sheaves with topological charge two, the rank of beta matrix in the monad construction can be dropped from the bundle case with rank(beta)= 2 to either rank(beta) = 1 [4] or 0 on some points of CP3 of the sheaf cases. In this paper, we first show that the sheaf case with rank(beta)= 0 does not exist for the previous construction of SU(2) complex YM instantons [3]. We then show that in the new "extended complex YM instantons" discovered in this paper, rank(beta) can be either 2 on the whole CP3 (bundle) with some given ADHM data or 1, 0 on some points of CP3 with other ADHM data (sheaves). These extended SU(2) complex YM instantons have no real instanton counterparts.