Script N = 8 Supergravity 4-point amplitudes
Abstract
We present the explicit expressions in Script N = 8 supergravity for the bosonic 4-particle tree and 1-loop amplitudes including vectors and scalars. We also present the candidate 4-point UV divergences in a form of helicity amplitudes, corresponding to 3-loop manifestly Script N = 8 supersymmetric and Lorentz covariant counterterm. This may shed some light on the 3-loop finiteness of Script N = 8 SG and on a conjectured higher loop finiteness. We perform a supersymmetric deformation to complex momentum of the 4-point generating function including higher-loop counterterms and the 1-loop UV finite amplitudes. Using the explicit form of the scalar part of the 3-loop counterterm and of the 1-loop UV finite scalar 4-point amplitudes we find that they both have an unbroken E(7,7) symmetry. We derive from E(7,7) symmetry the low-energy theorem for the 1-loop n-point amplitudes.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- February 2009
- DOI:
- 10.1088/1126-6708/2009/02/050
- arXiv:
- arXiv:0811.3417
- Bibcode:
- 2009JHEP...02..050K
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 23 p, 4 figures