R^4 Counterterm and E_{7(7)} Symmetry in Maximal Supergravity

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The coefficient of a potential R{sup 4} counterterm in N = 8 supergravity has been shown previously to vanish in an explicit three-loop calculation. The R{sup 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 E{sub 7(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{sup 4} term occurs in the low-energy expansion ... continued below

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32 pages

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Broedel, Johannes; /Potsdam, Max Planck Inst. /Leibniz U., Hannover; Dixon, Lance J. & /SLAC July 6, 2011.

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The coefficient of a potential R{sup 4} counterterm in N = 8 supergravity has been shown previously to vanish in an explicit three-loop calculation. The R{sup 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 E{sub 7(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{sup 4} term occurs in the low-energy expansion of closed-string tree-level amplitudes. We find that the matrix elements of R{sup 4} that we investigated all obey the double-soft scalar limit relation, suggesting that E{sub 7(7)} is also respected by the R{sup 4} term.

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32 pages

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  • Journal Name: JHEP 1005:003,2010

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  • Report No.: SLAC-PUB-13848
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 969225
  • Archival Resource Key: ark:/67531/metadc934940

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  • July 6, 2011

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  • Nov. 13, 2016, 7:26 p.m.

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  • Feb. 17, 2017, 6:36 p.m.

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Broedel, Johannes; /Potsdam, Max Planck Inst. /Leibniz U., Hannover; Dixon, Lance J. & /SLAC. R^4 Counterterm and E_{7(7)} Symmetry in Maximal Supergravity, article, July 6, 2011; United States. (digital.library.unt.edu/ark:/67531/metadc934940/: accessed December 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.