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  Loops in exceptional field theory

Bossard, G., & Kleinschmidt, A. (2016). Loops in exceptional field theory. Journal of high energy physics: JHEP, 2016(01): 164. doi:10.1007/JHEP01(2016)164.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-6096-D Version Permalink: http://hdl.handle.net/21.11116/0000-0001-6AE7-4
Genre: Journal Article

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 Creators:
Bossard, Guillaume1, Author              
Kleinschmidt, Axel2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Quantum Gravity and 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: We study certain four-graviton amplitudes in exceptional field theory in dimensions $D\geq 4$ up to two loops. As the formulation is manifestly invariant under the U-duality group $E_{11-D}(\mathbb{Z})$, our resulting expressions can be expressed in terms of automorphic forms. In the low energy expansion, we find terms in the M-theory effective action of type $R^4$, $\nabla^4R^4$ and $\nabla^6 R^4$ with automorphic coefficient functions in agreement with independent derivations from string theory. This provides in particular an explicit integral formula for the exact string theory $\nabla^6 R^4$ threshold function. We exhibit moreover that the usual supergravity logarithmic divergences cancel out in the full exceptional field theory amplitude, within an appropriately defined dimensional regularisation scheme. We also comment on terms of higher derivative order and the role of the section constraint for possible counterterms.

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 Dates: 2015-10-272016-01-132016
 Publication Status: Published in print
 Pages: 1+76 pages: v2: Added references and typos corrected. Version accepted by JHEP
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 Rev. Method: -
 Identifiers: arXiv: 1510.07859
DOI: 10.1007/JHEP01(2016)164
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2016 (01) Sequence Number: 164 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002