N=8 Supergravity on the Light Cone
Mar, 200938 pages
Published in:
- Phys.Rev.D 80 (2009) 105022
e-Print:
- 0903.4630 [hep-th]
Report number:
- SU-ITP-2009-15
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Abstract: (arXiv)
We construct the generating functional for the light-cone superfield amplitudes in a chiral momentum superspace. It generates the n-point particle amplitudes which on shell are equivalent to the covariant ones. Based on the action depending on unconstrained light-cone chiral scalar superfield, this functional provides a regular d=4 QFT path integral derivation of the Nair-type amplitude constructions. By performing a Fourier transform into the light-cone chiral coordinate superspace we find that the quantum corrections to the superfield amplitudes with n legs are non-local in transverse directions for the diagrams with the number of loops smaller than n(n-1)/2 +1. This suggests the reason why UV infinities, which are proportional to local vertices, cannot appear at least before 7 loops in the light-cone supergraph computations. By combining the E7 symmetry with the supersymmetric recursion relations we argue that the light-cone supergraphs predict all loop finiteness of d=4 N=8 supergravity.Note:
- 38 p
- 04.65.+e
- correction: quantum
- supergravity
- light cone
- superfield
- superspace
- supersymmetry: 8
- path integral
- E(7)
- symmetry: translation
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