E7(7) symmetry in perturbatively quantised N=8 supergravity

Details E7(7) symmetry in perturbatively quantised N=8 supergravity E7(7) symmetry in perturbatively quantised N=8 supergravity

2010-07-30

arxiv.org/abs/1007.5472v2

JHEP 1012:052,2010

Physics

High Energy Physics

High Energy Physics - Theory

Corrected version for publication in JHEP. 79 pages

Scientific paper

10.1007/JHEP12(2010)052

We study the perturbative quantisation of N=8 supergravity in a formulation where its E7(7) symmetry is realised off-shell. Relying on the cancellation of SU(8) current anomalies we show that there are no anomalies for the non-linearly realised E7(7) either; this result extends to all orders in perturbation theory. As a consequence, the e7(7) Ward identities can be consistently implemented and imposed at all orders in perturbation theory, and therefore potential divergent counterterms must in particular respect the full non-linear E7(7) symmetry.

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