Fetching the paper…

Reading the bibliography…

N=8 Counterterms and E7(7) Current Conservation · Around

2011

N=8 Counterterms and E7(7) Current Conservation

Kallosh, Renata

Original
PDF
Post on X

Understand

We examine conservation of the E7(7) Noether-Gaillard-Zumino current in the presence of N=8 supergravity counterterms using the momentum space helicity formalism, which significantly simplifies the calculations.

The main result is that the 4-point counterterms at any loop order L are forbidden by the E7(7) current conservation identity.
We also clarify the relation between linearized and full non-linear superinvariants as candidate counterterms.
This enables us to show that all n-point counterterms at L=7, 8 are forbidden since they provide a non-linear completions of the 4-point ones.

Built on

E. Cremmer and B. Julia, “The SO(8) Supergravity,” Nucl. Phys. B 159
1977
Earlier work this paper cites.
L. Brink and P. S. Howe, “The 𝒩 = 8 {\cal{N}}=8 Supergravity In Superspace,” Phys. Lett. B 88
1979
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.
R. E. Kallosh, “Counterterms in extended supergravities,” Phys. Lett. B 99
1981
Earlier work this paper cites.
E. Sokatchev, “A Superspace Action For N=2 Supergravity,” Phys. Lett. B 100
1981
Earlier work this paper cites.

Similar

M. B. Green and P. Vanhove, “The Low-energy expansion of the one loop type II superstring amplitude,” Phys. Rev. D 61
2000
Cited alongside, same era.
Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, D. A. Kosower and R. Roiban, “Three-Loop Superfiniteness of 𝒩 = 8 {\cal{N}}=8 Supergravity,” Phys. Rev. Lett. 98
2007
Cited alongside, same era.
M. K. Gaillard and B. Zumino, “Duality Rotations For Interacting Fields,” Nucl. Phys. B 193
Original
2008
Cited alongside, same era.
R. Kallosh and M. Soroush, “Explicit Action of E7(7) on N=8 Supergravity Fields,” Nucl. Phys. B 801
Original
2008
Cited alongside, same era.
R. Kallosh, “N=8 Supergravity on the Light Cone,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
R. Kallosh, “ E 7 ( 7 ) E_{7(7)} Symmetry and Finiteness of N=8 Supergravity,” arXiv:1103.4115 [hep-th]
Original
Cited in the paper.
S. Ferrara and A. Marrani, “Perturbative and Non-Perturbative Aspects of N=8 Supergravity,” arXiv:1103.5138 [hep-th]
Original
Cited in the paper.
D. Z. Freedman and E. Tonni, “The D 2 k R 4 D^{2k}R^{4} Invariants of N=8 Supergravity,” arXiv:1101.1672 [hep-th]
Original
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.

Then

R. Kallosh, “The Ultraviolet Finiteness of N=8 Supergravity,” JHEP 1012
Original
2010
Later among the works it cites.
G. Bossard, C. Hillmann and H. Nicolai, “E7(7) symmetry in perturbatively quantised N=8 supergravity,” JHEP 1012
Original
2010
Later among the works it cites.
H. Elvang, D. Z. Freedman and M. Kiermaier, “A simple approach to counterterms in N=8 supergravity,” JHEP 1011
Original
2010
Later among the works it cites.
L. Brink, private communication, March 2011
2011
Closest in time.
J. Broedel and L. J. Dixon, “ R 4 R^{4} counterterm and E7(7) symmetry in maximal supergravity,” JHEP 1005
Original
2011
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…