Holonomies of gauge fields in twistor space 3: gravity as a square of N=4 theory

Details Holonomies of gauge fields in twistor space 3: gravity as a square of N=4 theory Holonomies of gauge fields in twistor space 3: gravity as a square of N=4 theory

2010-08-17

arxiv.org/abs/1008.2800v2

Nucl.Phys.B842:475-500,2011

Physics

High Energy Physics

High Energy Physics - Theory

28 pages; v2. some speculative parts removed, published version

Scientific paper

10.1016/j.nuclphysb.2010.09.012

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.

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