Twistors, Harmonics and Holomorphic Chern-Simons
High Energy Physics - Theory
2013-05-28 v3 Mathematical Physics
math.MP
Abstract
We show that the off-shell N=3 action of N=4 super Yang-Mills can be written as a holomorphic Chern-Simons action whose Dolbeault operator is constructed from a complex-real (CR) structure of harmonic space. We also show that the local space-time operators can be written as a Penrose transform on the coset SU(3)/(U(1) \times U(1)). We observe a strong similarity to ambitwistor space constructions.
Cite
@article{arxiv.1301.1536,
title = {Twistors, Harmonics and Holomorphic Chern-Simons},
author = {Burkhard U. W. Schwab and Cristian Vergu},
journal= {arXiv preprint arXiv:1301.1536},
year = {2013}
}
Comments
34 pages, 3 figures, v2: replaced with published version, v3: Added reference