2008/08/18 by Renata Kallosh, Kallosh, Renata
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.0808.2310
17 pages
arxiv created 2008/11/15 · arxiv updated 2009/12/01
The Lorentz covariant all-loop counterterms built in the 4+32 on shell superspace of N=8 supergravity imply that the theory is not UV finite. Meanwhile, the relevant counterterms depending on the light-cone superfields in 4+16 superspace have not been constructed so far. Our first attempt to construct them suggests that they may be incompatible with the covariant ones. This would lead to a prediction of all-loop UV finiteness of the perturbative S-matrix. Here we rely on the validity of the equivalence theorem for the S-matrix in the light-cone gauge and Lorentz covariant gauges, which requires the absence of BRST anomalies. We discuss the status of N=8 SU(8) and E7 anomalies. It remains an outstanding problem to construct the light-cone counterterms or to confirm our current conclusion.