2010

The Ultraviolet Finiteness of N=8 Supergravity

Kallosh, Renata

Understand

We study counterterms (CT's), candidates for UV divergences in the four-dimensional N=8 supergravity.

They have been constructed long ago in a Lorentz covariant on shell superspace and recently in the chiral light-cone (LC) superspace.
We prove that all of these CT's are ruled out since they are not available in the real LC superspace.
This implies the perturbative UV finiteness of d=4 N=8 supergravity under the assumption that supersymmetry and continuous E7 symmetry are anomaly-free.

Built on

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Similar

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1981
Cited alongside, same era.
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1981
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Cited alongside, same era.
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Cited alongside, same era.
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Cited alongside, same era.
L. J. Dixon, “Ultraviolet Behavior of N=8 Supergravity,” arXiv:1005.2703 [hep-th]; Z. Bern, J. J. M. Carrasco and H. Johansson, “Progress on Ultraviolet Finiteness of Supergravity,” arXiv:0902.3765 [hep-th]
Original
Cited in the paper.
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Original
Cited in the paper.
Talks by D. Freedman and H. Elvang at the Ahoop conference: http://people.physik.hu-berlin.de/ ∼ \sim ahoop/program.shtml
Cited in the paper.
L. Brink, “Maximal supersymmetry and exceptional groups,” arXiv:1006.1558 [hep-th]
Original
Cited in the paper.

Then

L. Brink, S. S. Kim and P. Ramond, “ E 7 ( 7 ) E_{7(7)} on the Light Cone,” JHEP 0806
Original
2008
Later among the works it cites.
M. Bianchi, H. Elvang and D. Z. Freedman, “Generating Tree Amplitudes in N=4 SYM and N = 8 SG,” JHEP 0809
Original
2008
Later among the works it cites.
R. Kallosh, “N=8 Supergravity on the Light Cone,” Phys. Rev. D 80
Original
2009
Later among the works it cites.
G. Bossard, P. S. Howe and K. S. Stelle, “The ultra-violet question in maximally supersymmetric field theories,” Gen. Rel. Grav. 41
Original
2009
Later among the works it cites.
R. Kallosh and M. Soroush, “Explicit Action of E7(7) on N=8 Supergravity Fields,” Nucl. Phys. B 801
Original
2009
Later among the works it cites.
R. Kallosh, C. H. Lee and T. Rube, “N=8 Supergravity 4-point Amplitudes,” JHEP 0902
Original
2009
Later among the works it cites.
J. Broedel and L. J. Dixon, “ R 4 R^{4} counterterm and E7(7) symmetry in maximal supergravity,” JHEP 1005
Original
2010
Closest in time.
M. Bianchi, S. Ferrara and R. Kallosh, “Perturbative and Non-perturbative N =8 Supergravity,” Phys. Lett. B 690
Original
2010
Closest in time.

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