Script N = 8 Supergravity 4point amplitudes
Abstract
We present the explicit expressions in Script N = 8 supergravity for the bosonic 4particle tree and 1loop amplitudes including vectors and scalars. We also present the candidate 4point UV divergences in a form of helicity amplitudes, corresponding to 3loop manifestly Script N = 8 supersymmetric and Lorentz covariant counterterm. This may shed some light on the 3loop finiteness of Script N = 8 SG and on a conjectured higher loop finiteness. We perform a supersymmetric deformation to complex momentum of the 4point generating function including higherloop counterterms and the 1loop UV finite amplitudes. Using the explicit form of the scalar part of the 3loop counterterm and of the 1loop UV finite scalar 4point amplitudes we find that they both have an unbroken E_{(7,7)} symmetry. We derive from E_{(7,7)} symmetry the lowenergy theorem for the 1loop npoint amplitudes.
 Publication:

Journal of High Energy Physics
 Pub Date:
 February 2009
 DOI:
 10.1088/11266708/2009/02/050
 arXiv:
 arXiv:0811.3417
 Bibcode:
 2009JHEP...02..050K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 23 p, 4 figures