Holonomies of gauge fields in twistor space 3: gravity as a square of N=4 theory
arXiv:1008.2800 · doi:10.1016/j.nuclphysb.2010.09.012
Abstract
In a recent paper, we show that an S-matrix functional for graviton amplitudes can be described by an N=8 supersymmetric gravitational holonomy operator in twistor space. In this paper, we obtain an alternative expression for the gravitational holonomy operator such that it can be interpreted as a square of an N=4 holonomy operator for frame fields, by taking a sum of certain shuffles over ordered indices. The new expression leads to amplitudes of not only spin-2 gravitons but also spin-0 massless particles. We discuss that the squared model is favored as a theory of quantum gravity.
28 pages; v2. some speculative parts removed, published version
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