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  On duality symmetries of supergravity invariants

Bossard, G., Howe, P. S., & Stelle, K. S. (2011). On duality symmetries of supergravity invariants. Journal of High Energy Physics, 2011(01): 020, pp. 1-26. Retrieved from http://arxiv.org/abs/1009.0743.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C6C1-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C6C3-0
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 Creators:
Bossard, Guillaume1, Author              
Howe, P. S., Author
Stelle, K. S.1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: The role of duality symmetries in the construction of counterterms for maximal supergravity theories is discussed in a field-theoretic context from different points of view. These are: dimensional reduction, the question of whether appropriate superspace measures exist and information about non-linear invariants that can be gleaned from linearised ones. In D=4, N=8 supergravity we find that all three of these arguments suggest that F-term counterterms cannot be E7(7)-invariant and that the theory should be finite up to seven loops as a consequence. We also argue that N=6 supergravity is finite at three and four loops and that N=5 supergravity should be three-loop finite.

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 Dates: 2010-09-032011
 Publication Status: Published in print
 Pages: 26 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1009.0743
URI: http://arxiv.org/abs/1009.0743
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Title: Journal of High Energy Physics
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2011 (01) Sequence Number: 020 Start / End Page: 1 - 26 Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002_1