Holonomies of gauge fields in twistor space 1: Bialgebra, supersymmetry, and gluon amplitudes

@article{Abe2010HolonomiesOG,
  title={Holonomies of gauge fields in twistor space 1: Bialgebra, supersymmetry, and gluon amplitudes},
  author={Y. Abe},
  journal={Nuclear Physics},
  year={2010},
  volume={825},
  pages={242-267}
}
  • Y. Abe
  • Published 2010
  • Physics
  • Nuclear Physics
Abstract We introduce a notion of holonomy in twistor space and construct a holonomy operator by use of a spinor-momenta formalism in twistor space. The holonomy operator gives a monodromy representation of the Knizhnik–Zamolodchikov (KZ) equation, which is mathematically equivalent to a linear representation of a braid group. We show that an S-matrix functional for gluon amplitudes can be expressed in terms of a supersymmetric version of the holonomy operator. A variety of mathematical and… Expand
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