Cancellation of divergences up to three loops in exceptional field theory View Full Text


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Article Info

DATE

2018-03

AUTHORS

Guillaume Bossard, Axel Kleinschmidt

ABSTRACT

We consider the tetrahedral three-loop diagram in Ed exceptional field theory evaluated as a scalar diagram for four external gravitons. At lowest order in momenta, this diagram contributes to the ∇6R4 term in the low-energy effective action for M-theory. We evaluate explicitly the sums over the discrete exceptional field theory loop momenta that become sums over 1/2-BPS states in the compact exceptional space. These sums can be rewritten as Eisenstein series that solve the homogeneous differential equations that supersymmetry implies for the ∇6R4 coupling. We also show how our results, even though sums over 1/2-BPS states, are consistent with expected 1/4-BPS contributions to the couplings. More... »

PAGES

100

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  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep03(2018)100

    DOI

    http://dx.doi.org/10.1007/jhep03(2018)100

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1101838129


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