# The D6ℛ4 term from three loop maximal supergravity

@article{Basu2014TheDT,
title={The D6ℛ4 term from three loop maximal supergravity},
author={Anirban Basu},
journal={Classical and Quantum Gravity},
year={2014},
volume={31}
}
• A. Basu
• Published 2 July 2014
• Physics
• Classical and Quantum Gravity
We consider the D 6 R 4 ?> term which is the leading contribution in the low momentum expansion of the three loop, four graviton amplitude in maximal supergravity. We calculate the moduli dependent coefficient of this term in eleven dimensional supergravity compactified on T2. Only diagrams that involve the Mercedes skeleton contribute resulting in a compact expression involving an integral over six Schwinger parameters. We express this integral as an integral over the moduli of an auxiliary T3…
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## References

SHOWING 1-10 OF 54 REFERENCES

• Physics
• 2000
The two-loop Feynman diagram contribution to the four-graviton amplitude of eleven-dimensional supergravity compactified on a two-torus, T^2, is analyzed in detail. The Schwinger parameter
• Physics
• 2008
The low-momentum expansion of the two-loop four-graviton scattering amplitude in eleven-dimensional supergravity compactified on a circle and a two-torus is considered up to terms of order S6 4
• Mathematics, Physics
• 2014
A bstractThe coefficient of the D6ℛ4 interaction in the low energy expansion of the two-loop four-graviton amplitude in type II superstring theory is known to be proportional to the integral of the
• Physics
• 2006
Dualities of M-theory are used to determine the exact dependence on the coupling constant of the D6 4 interaction of the IIA and IIB superstring effective action. Upon lifting to eleven dimensions
• Physics
• 2000
The one-loop four-graviton amplitude in either of the type II superstring theories is expanded in powers of the external momenta up to and including terms of order s^4 log s R^4, where R^4 denotes a
• Physics
• 2007
We construct the three-loop four-point amplitude of N = 8 supergravity using the unitarity method. The amplitude is ultraviolet ﬁnite in four dimensions. Novel cancellations, not predicted by
• Physics
• 2008
Using the method of maximal cuts, we obtain a form of the three-loop four-point scattering amplitude of $\mathcal{N}=8$ supergravity in which all ultraviolet cancellations are made manifest. The
• Physics
Physical review letters
• 2007
Novel cancellations not predicted by traditional superspace power-counting arguments render its degree of divergence in D dimensions no worse than that of N=4 super-Yang-Mills theory--a finite theory in four dimensions.