Twistors, Harmonics and Holomorphic Chern-Simons
arXiv:1301.1536 · doi:10.1007/JHEP03(2013)046
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.
34 pages, 3 figures, v2: replaced with published version, v3: Added reference
References in corpus (18)
- Gluon scattering amplitudes at strong coupling
- MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
- The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
- The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
- The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
- M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
- On D=5 super Yang-Mills theory and (2,0) theory
- The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
- Notes on the scattering amplitude / Wilson loop duality
- Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
- -behavior from 5D Yang-Mills theory
- D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
- Twistor Actions for Self-Dual Supergravities
- The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
- Holomorphic Linking, Loop Equations and Scattering Amplitudes in Twistor Space
- Null Polygonal Wilson Loops in Full N=4 Superspace
- On the Geometry of Null Polygons in Full N=4 Superspace
- Super Yang-Mills Theory as a Twistor Matrix Model