Yang-Mills instanton sheaves

doi:10.1016/j.aop.2016.10.012

標題:	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 sheaves;Monad construction;Singularities of gauge fields;SL(2, C) Yang-Mills instanton;Biquaternion ADHM construction
公開日期:	1-Feb-2017
摘要:	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 S-4 which do not exist for SU(2) instantons. (C) 2016 Elsevier Inc. All rights reserved.
URI:	http://dx.doi.org/10.1016/j.aop.2016.10.012 http://hdl.handle.net/11536/146072
ISSN:	0003-4916
DOI:	10.1016/j.aop.2016.10.012
期刊:	ANNALS OF PHYSICS
Volume:	377
起始頁:	446
結束頁:	465
Appears in Collections:	Articles