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R^4 counterterm and E7(7) symmetry in maximal supergravity

MPG-Autoren
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Brödel,  Johannes
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

0911.5704v1.pdf
(Preprint), 252KB

JHEP05(2010)003.pdf
(beliebiger Volltext), 842KB

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Zitation

Brödel, J., & Dixon, L. J. (2010). R^4 counterterm and E7(7) symmetry in maximal supergravity. Journal of high energy physics: JHEP, 2010(05): 003. doi:10.1007/JHEP05(2010)003.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0013-6140-8
Zusammenfassung
The coefficient of a potential R^4 counterterm in N=8 supergravity has been shown previously to vanish in an explicit three-loop calculation. The R^4 term respects N=8 supersymmetry; hence this result poses the question of whether another symmetry could be responsible for the cancellation of the three-loop divergence. In this article we investigate possible restrictions from the coset symmetry E7(7)/SU(8), using a double-soft scalar limit relation derived recently by Arkani-Hamed et al. In order to implement the relation, we make use of the fact that the R^4 term occurs in the low-energy expansion of closed-string tree-level amplitudes. We find that the matrix elements of R^4 that we investigated all obey the double-soft scalar limit relation, suggesting that E7(7) is also respected by the R^4 term.