Built on

N. Marcus and J. H. Schwarz, Three-Dimensional Supergravity Theories
1983
Earlier work this paper cites.
B. de Wit, A. Tollsten, and H. Nicolai, Locally Supersymmetric D = 3 D=3 Non-linear Sigma Models
1993
Earlier work this paper cites.
E. Witten, Perturbative Gauge Theory as a String Theory in Twistor Space
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin, and A. Volovich, Tree–level S–Matrix of Yang-Mills Theory
2004
Earlier work this paper cites.
J. Bagger and N. Lambert, Modeling Multiple M2-branes
2007
Earlier work this paper cites.
O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, 𝒩 = 6 \mathcal{N}=6 Superconformal Chern-Simons-matter Theories, M2-branes and Their Gravity Duals
Original
2008
Earlier work this paper cites.
M. Van Raamsdonk, Comments on the Bagger-Lambert Theory and Multiple M2-branes
Original
2008
Earlier work this paper cites.

Similar

Z. Bern, J. Carrasco, and H. Johansson, New Relations for Gauge-Theory Amplitudes
Original
2008
Cited alongside, same era.
A. Gustavsson, Algebraic Structures on Parallel M2 Branes
Original
2009
Cited alongside, same era.
M. Spradlin and A. Volovich, From Twistor String Theory To Recursion Relations
Original
2009
Cited alongside, same era.
A. Agarwal, N. Beisert, and T. McLoughlin, Scattering in Mass-deformed 𝒩 ≥ 4 \mathcal{N}\geq 4 Chern-Simons Models
Original
2009
Cited alongside, same era.
T. Bargheer, F. Loebbert, and C. Meneghelli, Symmetries of Tree-level Scattering Amplitudes in 𝒩 = 6 \mathcal{N}=6 Superconformal Chern-Simons Theory
Original

Then

F. Cachazo and D. Skinner, Gravity from Rational Curves
Original
2012
Later among the works it cites.
F. Cachazo and Y. Geyer, A “Twistor String” Inspired Formula For Tree-level Scattering Amplitudes in 𝒩 = 8 \mathcal{N}=8 SUGRA
Original
2012
Later among the works it cites.
Y.-t. Huang and S. Lee, Integral Formula for Supersymmetric Scattering Amplitudes in Three Dimensions
Original
2012
Later among the works it cites.
T. Bargheer, S. He, and T. McLoughlin, New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes
Original
2012
Later among the works it cites.
Y.-t. Huang and H. Johansson, Equivalent D = 3 D=3 Supergravity Amplitudes from Double Copies of Three-Algebra and Two-Algebra Gauge Theories

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2013

Scattering in Three Dimensions from Rational Maps

Cachazo, Freddy, He, Song, Yuan, Ellis Ye

Understand

The complete tree-level S-matrix of four dimensional ${\cal N}=4$ super Yang-Mills and ${\cal N} = 8$ supergravity has compact forms as integrals over the moduli space of certain rational maps.

In this note we derive formulas for amplitudes in three dimensions by using the fact that when amplitudes are dressed with proper wave functions dimensional reduction becomes straightforward.
This procedure leads to formulas in terms of rational maps for three dimensional maximally supersymmetric Yang-Mills and gravity theories.
The integrand of the new formulas contains three basic structures: Parke-Taylor-like factors, Vandermonde determinants and resultants.

Built on

N. Marcus and J. H. Schwarz, Three-Dimensional Supergravity Theories
1983
Earlier work this paper cites.
B. de Wit, A. Tollsten, and H. Nicolai, Locally Supersymmetric D = 3 D=3 Non-linear Sigma Models
1993
Earlier work this paper cites.
E. Witten, Perturbative Gauge Theory as a String Theory in Twistor Space
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin, and A. Volovich, Tree–level S–Matrix of Yang-Mills Theory
2004
Earlier work this paper cites.
J. Bagger and N. Lambert, Modeling Multiple M2-branes
2007
Earlier work this paper cites.
O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, 𝒩 = 6 \mathcal{N}=6 Superconformal Chern-Simons-matter Theories, M2-branes and Their Gravity Duals
Original
2008
Earlier work this paper cites.
M. Van Raamsdonk, Comments on the Bagger-Lambert Theory and Multiple M2-branes
Original
2008
Earlier work this paper cites.