1301.1536 (Burkhard Schwab et al.)

Twistors, Harmonics and Holomorphic Chern-Simons    [PDF]

Burkhard Schwab, Cristian Vergu

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.

View original: http://arxiv.org/abs/1301.1536