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

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

2009-06-14

arxiv.org/abs/0906.2524v4

Nucl.Phys.B825:242-267,2010

Physics

High Energy Physics

High Energy Physics - Theory

30 pages; v2,3. references added + minor changes; v4. published version

Scientific paper

10.1016/j.nuclphysb.2009.09.026

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 physical concepts, such as integrability, general covariance, Lorentz invariance and Yangian symmetry, are knit together by the holonomy operator. These results shed a new light on gauge theories in four-dimensional spacetime.

Affiliated with

Also associated with

No associations

Rating

Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-341790