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

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00604405
Contributor : Guillaume Bossard Connect in order to contact the contributor
Submitted on : Wednesday, June 29, 2011 - 12:11:35 AM
Last modification on : Monday, August 27, 2018 - 9:44:01 AM
Long-term archiving on: : Friday, September 30, 2011 - 2:20:49 AM

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Guillaume Bossard, Hermann Nicolai, Christian Hillmann. E7(7) symmetry in perturbatively quantised N=8 supergravity. Journal of High Energy Physics, Springer, 2010, 2010 (12), pp.052. ⟨10.1007/JHEP12(2010)052⟩. ⟨hal-00604405⟩

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