One-loop four-graviton amplitudes in N=4 supergravity models

Z. Bern, C. Boucher-Veronneau and H. Johansson, “ N ≥ 4 N\geq 4 Supergravity Amplitudes from Gauge Theory at One Loop,” Phys. Rev. D 84

Original

1935

Earlier work this paper cites.

G. ’t Hooft and M. J. G. Veltman, “One Loop Divergencies in the Theory of Gravitation,” Annales Poincare Phys. Theor. A 20

1974

Earlier work this paper cites.

S. Deser, J. H. Kay and K. S. Stelle, “Renormalizability Properties of Supergravity,” Phys. Rev. Lett. 38

1977

Earlier work this paper cites.

I.S. Gradshteyn, and I.W Ryzhik, Table of Integrals, Series, and Products

Original

1980

Earlier work this paper cites.

M. B. Green, J. H. Schwarz and L. Brink, “ 𝒩 = 4 {\mathcal{N}}\!=4 Yang-Mills and 𝒩 = 8 {\mathcal{N}}\!=8 Supergravity as Limits of String Theories,” Nucl. Phys. B 198

1982

Earlier work this paper cites.

M. T. Grisaru and W. Siegel, “The One Loop Four Particle S Matrix in Extended Supergravity,” Phys. Lett. B 110

1982

Earlier work this paper cites.

M. de Roo, “Matter Coupling in 𝒩 = 4 {\mathcal{N}}\!=4 Supergravity,” Nucl. Phys. B 255

1985

Earlier work this paper cites.

M. B. Green, J. H. Schwarz and E. Witten, “Superstring Theory. Vol. 2: Loop Amplitudes, Anomalies and Phenomenology,” (1987) ( Cambridge Monographs On Mathematical Physics)

1987

Earlier work this paper cites.

N. Sakai and Y. Tanii, “One Loop Amplitudes and Effective Action in Superstring Theories,” Nucl. Phys. B 287

1987

Earlier work this paper cites.

K. S. Narain, M. H. Sarmadi and E. Witten, “A Note on Toroidal Compactification of Heterotic String Theory,” Nucl. Phys. B 279

1987

Earlier work this paper cites.

S. Ferrara and C. Kounnas, “Extended Supersymmetry in Four-Dimensional Type Ii Strings,” Nucl. Phys. B 328

1989

Earlier work this paper cites.

Z. Bern and D. A. Kosower, “Efficient calculation of one loop QCD amplitudes,” Phys. Rev. Lett. 66

1991

Earlier work this paper cites.

Z. Bern and D. A. Kosower, “Color decomposition of one loop amplitudes in gauge theories,” Nucl. Phys. B 362

1991

Earlier work this paper cites.

Z. Bern and D. A. Kosower, “The Computation of Loop Amplitudes in Gauge Theories,” Nucl. Phys. B 379

1992

Earlier work this paper cites.

Z. Bern, D. C. Dunbar and T. Shimada, “String based methods in perturbative gravity,” Phys. Lett. B 312

1993

Earlier work this paper cites.

D. C. Dunbar and P. S. Norridge, “Calculation of Graviton Scattering Amplitudes Using String Based Methods,” Nucl. Phys. B 433

1995

Earlier work this paper cites.

E. Witten, “String Theory Dynamics in Various Dimensions,” Nucl. Phys. B 443

1995

Earlier work this paper cites.

C. M. Hull and P. K. Townsend, “Unity of Superstring Dualities,” Nucl. Phys. B 438

1995

Earlier work this paper cites.

S. Chaudhuri and J. Polchinski, “Moduli Space of Chl Strings,” Phys. Rev. D 52

1995

Cited alongside, same era.

J. H. Schwarz and A. Sen, “Type Iia Dual of the Six-Dimensional Chl Compactification,” Phys. Lett. B 357

1995

Cited alongside, same era.

A. Sen and C. Vafa, “Dual Pairs of Type II String Compactification,” Nucl. Phys. B 455

1995

Cited alongside, same era.

A. A. Tseytlin, “Heterotic type I superstring duality and low-energy effective actions,” Nucl. Phys. B 467

1996

Cited alongside, same era.

P. S. Aspinwall, “Some Relationships Between Dualities in String Theory,” Nucl. Phys. Proc. Suppl. 46

1996

Cited alongside, same era.

D. C. Dunbar and P. S. Norridge, “Infinities Within Graviton Scattering Amplitudes,” Class. Quant. Grav. 14

Z. Bern, J. J. Carrasco, D. Forde, H. Ita and H. Johansson, “Unexpected Cancellations in Gravity Theories,” Phys. Rev. D 77

Original

2008

Later among the works it cites.

Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, “The Ultraviolet Behavior of 𝒩 = 8 {\mathcal{N}}\!=8 Supergravity at Four Loops,” Phys. Rev. Lett. 103

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.

M. B. Green, J. G. Russo and P. Vanhove, “String Theory Dualities and Supergravity Divergences,” JHEP 1006

Original

2010

Later among the works it cites.

H. Elvang, D. Z. Freedman and M. Kiermaier, “A Simple Approach to Counterterms in 𝒩 = 8 {\mathcal{N}}\!=8 Supergravity,” JHEP 1011