Yang-Mills Instanton Sheaves
Abstract
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 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 singularities of the SL(2,C) instantons on S^4 which do not exist for SU(2) instantons.
Keywords
Cite
@article{arxiv.1603.02860,
title = {Yang-Mills Instanton Sheaves},
author = {Sheng-Hong Lai and Jen-Chi Lee and I-Hsun Tsai},
journal= {arXiv preprint arXiv:1603.02860},
year = {2018}
}
Comments
31 pages, no figure. v2: 32 pages,typos corrected. arXiv admin note: text overlap with arXiv:1412.1360. v3 typos corrected. to be published in Ann. Phys. v4 typos corrected. v5 : typos in Eqs.(4.76b),(4.79),(4.81) and (4.82c) corrected. v6 : The appendix was misleading and thus removed