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2009

On UV Finiteness of the Four Loop N=8 Supergravity

Kallosh, Renata

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The 4-loop 4-point amplitude in N=8 d=4 supergravity is UV finite due to supersymmetry.

Even better UV behavior of the 4-loop 4-point amplitude, analogous to that of N=4 SYM theory, has been recently established by computation in [1].
All n-point 4-loop amplitudes with n greater than 5 are finite on dimensional grounds.
However, the situation with the 5-point amplitudes remained unclear.

On UV Finiteness of the Four Loop N=8 Supergravity · Around

Built on

E. Cremmer and B. Julia, “The SO(8) Supergravity,” Nucl. Phys. B 159
1979
Earlier work this paper cites.
R. E. Kallosh, “Counterterms in extended supergravities,” Phys. Lett. B 99
1981
Earlier work this paper cites.
P. S. Howe, K. S. Stelle and P. K. Townsend, “Superactions,” Nucl. Phys. B 191
1981
Earlier work this paper cites.
P. S. Howe and U. Lindstrom, “Higher Order Invariants In Extended Supergravity,” Nucl. Phys. B 181
1981
Earlier work this paper cites.

Similar

J. M. Drummond, P. J. Heslop, P. S. Howe and S. F. Kerstan, “Integral invariants in N = 4 SYM and the effective action for coincident D-branes,” JHEP 0308
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N. Berkovits, “New higher-derivative R 4 R^{4} theorems,” Phys. Rev. Lett. 98
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M. B. Green, H. Ooguri and J. H. Schwarz, “Decoupling Supergravity from the Superstring,” Phys. Rev. Lett. 99
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2007
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Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, “The Ultraviolet Behavior of N=8 Supergravity at Four Loops,” arXiv:0905.2326 [hep-th]
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G. Bossard, P. S. Howe and K. S. Stelle, “The ultra-violet question in maximally supersymmetric field theories,” arXiv:0901.4661 [hep-th]
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Cited in the paper.
L. Dixon, S. Stieberger, private communication
Cited in the paper.
R. Kallosh, “On a possibility of a UV finite N=8 supergravity,” arXiv:0808.2310 [hep-th]
Original
Cited in the paper.
R. Kallosh, “N=8 Supergravity on the Light Cone,” arXiv:0903.4630 [hep-th]
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Cited in the paper.
H. J. Schnitzer, “Reggeization of N = 8 supergravity and N = 4 Yang-Mills theory,” arXiv:hep-th/0701217
Cited in the paper.
N. Arkani-Hamed, F. Cachazo and J. Kaplan, “What is the Simplest Quantum Field Theory?,” arXiv:0808.1446 [hep-th]
Original
Cited in the paper.

Then

Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, D. A. Kosower and R. Roiban, “Three-Loop Superfiniteness of 𝒩 \cal N =8 Supergravity,” Phys. Rev. Lett. 98
Original
2008
Later among the works it cites.
D. M. Richards, “The One-Loop Five-Graviton Amplitude and the Effective Action,” JHEP 0810
Original
2008
Later among the works it cites.
L. Brink, O. Lindgren and B. E. W. Nilsson, “N=4 Yang-Mills Theory On The Light Cone,” Nucl. Phys. B 212
Original
2008
Later among the works it cites.

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