One-loop four-graviton amplitudes in N=4 supergravity models
Abstract
We evaluate in great detail one-loop four-graviton field theory amplitudes in pure N=4 D=4 supergravity. The expressions are obtained by taking the field theory limits of (4,0) and (2,2) space-time supersymmetric string theory models. For each model we extract the contributions of the spin-1 and spin-2 N=4 supermultiplets running in the loop. We show that all of those constructions lead to the same four-dimensional result for the four-graviton amplitudes in pure supergravity even though they come from different string theory models.
Cite
@article{arxiv.1208.1255,
title = {One-loop four-graviton amplitudes in N=4 supergravity models},
author = {Piotr Tourkine and Pierre Vanhove},
journal= {arXiv preprint arXiv:1208.1255},
year = {2013}
}
Comments
46 pages. One figure. v2: minor corrections and clarifications. References added. v3: (2,2) analysis corrected, four-graviton amplitudes found to be indentical in all models. Various clarifications and precisions added. References list updated. v4: Assorted spelling and grammar corrections. Version to be published