Built on

A. Herderschee, S. Koren, and T. Trott, Constructing 𝒩 = 4 \mathcal{N}=4 Coulomb Branch Superamplitudes
Original
1902
Earlier work this paper cites.
P. Fayet, Spontaneous Generation of Massive Multiplets and Central Charges in Extended Supersymmetric Theories
1979
Earlier work this paper cites.
H. Osborn, Topological Charges for N=4 Supersymmetric Gauge Theories and Monopoles of Spin 1
1979
Earlier work this paper cites.
J. Scherk and J. H. Schwarz, Spontaneous Breaking of Supersymmetry Through Dimensional Reduction
1979
Earlier work this paper cites.
M. Gunaydin and R. J. Scalise, Unitary Lowest Weight Representations of the Noncompact Supergroup Osp(2m*/2n)
1991
Earlier work this paper cites.
M. L. Mangano and S. J. Parke, Multiparton amplitudes in gauge theories
1991
Earlier work this paper cites.
C. Fraser and T. J. Hollowood, Semiclassical quantization in N=4 supersymmetric Yang-Mills theory and duality
1997
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, New recursion relations for tree amplitudes of gluons
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory
2005
Earlier work this paper cites.
S. D. Badger, E. W. N. Glover, V. V. Khoze, and P. Svrcek, Recursion relations for gauge theory amplitudes with massive particles
2005
Earlier work this paper cites.
Z. Bern, L. J. Dixon, and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
2005
Earlier work this paper cites.
C. Schwinn and S. Weinzierl, SUSY ward identities for multi-gluon helicity amplitudes with massive quarks
2006
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, Gluon scattering amplitudes at strong coupling
Original
2007
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, The Amplituhedron
Original
2007
Earlier work this paper cites.
C. Schwinn and S. Weinzierl, On-shell recursion relations for all Born QCD amplitudes
2007
Earlier work this paper cites.
Z. Bern, M. Czakon, L. J. Dixon, D. A. Kosower, and V. A. Smirnov, The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
2007
Earlier work this paper cites.
J. M. Drummond, J. Henn, V. A. Smirnov, and E. Sokatchev, Magic identities for conformal four-point integrals
2007
Earlier work this paper cites.
Cambridge University Press, 2007
M. Srednicki, Quantum field theory · 2007
Earlier work this paper cites.
J. M. Drummond, G. P. Korchemsky, and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops
Original
2008
Earlier work this paper cites.
N. Berkovits and J. Maldacena, Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
Original
2008
Earlier work this paper cites.
A. Brandhuber, P. Heslop, and G. Travaglini, A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
Original
2008
Earlier work this paper cites.

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2019

Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes

Herderschee, Aidan, Koren, Seth, Trott, Timothy

Understand

We study scattering amplitudes of massive BPS states on the Coulomb branch of $4d$ $\mathcal{N}=4$ super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles.

Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for all Coulomb branch superamplitudes.
We then determine the exact three-particle superamplitudes for massive states.
These ingredients allow us to explicitly compute the four- and five-particle superamplitudes, which is the first non-trivial usage of BCFW recursion for amplitudes with entirely massive external states.

Built on

A. Herderschee, S. Koren, and T. Trott, Constructing 𝒩 = 4 \mathcal{N}=4 Coulomb Branch Superamplitudes
Original
1902
Earlier work this paper cites.
P. Fayet, Spontaneous Generation of Massive Multiplets and Central Charges in Extended Supersymmetric Theories
1979
Earlier work this paper cites.
H. Osborn, Topological Charges for N=4 Supersymmetric Gauge Theories and Monopoles of Spin 1
1979
Earlier work this paper cites.
J. Scherk and J. H. Schwarz, Spontaneous Breaking of Supersymmetry Through Dimensional Reduction
1979
Earlier work this paper cites.
M. Gunaydin and R. J. Scalise, Unitary Lowest Weight Representations of the Noncompact Supergroup Osp(2m*/2n)
1991
Earlier work this paper cites.
M. L. Mangano and S. J. Parke, Multiparton amplitudes in gauge theories
1991
Earlier work this paper cites.
C. Fraser and T. J. Hollowood, Semiclassical quantization in N=4 supersymmetric Yang-Mills theory and duality
1997
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, New recursion relations for tree amplitudes of gluons
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory
2005
Earlier work this paper cites.
S. D. Badger, E. W. N. Glover, V. V. Khoze, and P. Svrcek, Recursion relations for gauge theory amplitudes with massive particles
2005
Earlier work this paper cites.
Z. Bern, L. J. Dixon, and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
2005
Earlier work this paper cites.
C. Schwinn and S. Weinzierl, SUSY ward identities for multi-gluon helicity amplitudes with massive quarks
2006
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, Gluon scattering amplitudes at strong coupling
Original
2007
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, The Amplituhedron
Original
2007
Earlier work this paper cites.
C. Schwinn and S. Weinzierl, On-shell recursion relations for all Born QCD amplitudes
2007
Earlier work this paper cites.
Z. Bern, M. Czakon, L. J. Dixon, D. A. Kosower, and V. A. Smirnov, The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
2007
Earlier work this paper cites.
J. M. Drummond, J. Henn, V. A. Smirnov, and E. Sokatchev, Magic identities for conformal four-point integrals
2007
Earlier work this paper cites.
Cambridge University Press, 2007
M. Srednicki, Quantum field theory · 2007
Earlier work this paper cites.
J. M. Drummond, G. P. Korchemsky, and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops
Original
2008
Earlier work this paper cites.
N. Berkovits and J. Maldacena, Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
Original
2008
Earlier work this paper cites.
A. Brandhuber, P. Heslop, and G. Travaglini, A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
Original
2008
Earlier work this paper cites.