標題: | Extended complex Yang-Mills instanton sheaves |
作者: | Lai, Sheng-Hong Lee, Jen-Chi Tsai, I-Hsun 電子物理學系 Department of Electrophysics |
關鍵字: | Instanton;Yang-Mills theory;sheaves;integrable system |
公開日期: | 1-三月-2020 |
摘要: | In the search of Yang-Mills (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 [S. H. Lai, J. C. Lee and I. H. Tsai, Yang Mills instanton sheaves, Ann. Phys. 377 (2017) 446] 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 [S. H. Lai, J. C. Lee and I. H. Tsai, Biquaternions and ADHM construction of concompact SL(2, C) Yang-Mills instantons, Ann. Phys. 361 (2015) 14]. 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. Finally, the potential applications to real physics systems are noted in the end of the paper. |
URI: | http://dx.doi.org/10.1142/S0219887820500619 http://hdl.handle.net/11536/154424 |
ISSN: | 0219-8878 |
DOI: | 10.1142/S0219887820500619 |
期刊: | INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS |
Volume: | 17 |
Issue: | 4 |
起始頁: | 0 |
結束頁: | 0 |
顯示於類別: | 期刊論文 |