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  E7(7) constraints on counterterms in N=8 supergravity

Beisert, N., Elvang, H., Freedman, D. Z., Kiermaier, M., Morales, A., & Stieberger, S. (2010). E7(7) constraints on counterterms in N=8 supergravity. Physics Letters B, 694(3), 265-271. doi:10.1016/j.physletb.2010.09.069.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C6FB-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C6FD-0
Genre: Journal Article

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1009.1643 (Preprint), 455KB
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 Creators:
Beisert, Niklas1, Author              
Elvang, Henriette, Author
Freedman, Daniel Z., Author
Kiermaier, Michael, Author
Morales, Alejandro, Author
Stieberger, Stephan, Author
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24016              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: We prove by explicit computation that the operators D^4R^4 and D^6R^4 in N=8 supergravity have non-vanishing single-soft scalar limits at the 6-point level, and therefore they violate the continuous E7(7) symmetry. The soft limits precisely match automorphism constraints. Together with previous results for R^4, this provides a direct proof that no E7(7)-invariant candidate counterterm exists below 7-loop order. At 7-loops, we characterize the infinite tower of independent supersymmetric operators D^4R^6, R^8, phi^2 R^8,... with n>4 fields and prove that they all violate E7(7) symmetry. This means that the 4-graviton amplitude determines finiteness at 7-loop order. We show that the corresponding candidate counterterm D^8R^4 has a non-linear supersymmetrization such that its single- and double-soft scalar limits are compatible with E7(7) up to and including 6-points. At loop orders 7, 8, 9 we provide an exhaustive account of all independent candidate counterterms with up to 16, 14, 12 fields, respectively, together with their potential single-soft scalar limits.

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 Dates: 2010-09-082010
 Publication Status: Published in print
 Pages: 9 pages, 1 table
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1009.1643
URI: http://arxiv.org/abs/1009.1643
DOI: 10.1016/j.physletb.2010.09.069
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Title: Physics Letters B
Source Genre: Journal
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Publ. Info: North-Holland
Pages: - Volume / Issue: 694 (3) Sequence Number: - Start / End Page: 265 - 271 Identifier: ISSN: 0370-2693
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925524777