Built on

W. L. van Neerven, Infrared Behavior Of On-Shell Form-FactorsIn a 𝒩 = 4 \mathcal{N}=4 Supersymmetric Yang-Mills Field Theory , Z. Phys. C 30
1986
Earlier work this paper cites.
G. G. Hartwell, P. S. Howe, (N, p, q) harmonic superspace , Int. J. Mod. Phys. A 10
1995
Earlier work this paper cites.
K. G. Selivanov, On tree form-factors in (supersymmetric)Yang-Mills theory , Commun. Math. Phys. 208
2000
Earlier work this paper cites.
F. Cachazo, P. Svrcek, E. Witten, MHV Vertices And Tree Amplitudes In Gauge Theory , JHEP 0409
2004
Earlier work this paper cites.
R. Britto, F. Cachazo, Bo Feng, New Recursion Relations for Tree Amplitudes of Gluons , Nucl.Phys. B 715 (2005) 499-522, hep-th/0412308
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, Bo Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills , Nucl. Phys. B 725
2005
Earlier work this paper cites.
N. Arkani-Hamed, J. Trnka, The Amplituhedron , arXiv:1312.2007 [hep-th]
Original
2007
Earlier work this paper cites.
M. Bianchi, H. Elvang, D. Z. Freedman, Generating Tree Amplitudes in 𝒩 = 4 \mathcal{N}=4 SYM and 𝒩 = 8 \mathcal{N}=8 SG , JHEP 0809
Original
2008
Earlier work this paper cites.
L. J. Mason, D. Skinner, Dual Superconformal Invariance, Momentum Twistors and Grassmannians , JHEP 0911
Original
2009
Earlier work this paper cites.
J. M. Drummond, J. M. Henn, J. Plefka, Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory , JHEP 0905
Original
2009
Earlier work this paper cites.
H. Elvang, D. Z. Freedman, M. Kiermaier, Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory , JHEP 0906
Original
2009
Earlier work this paper cites.
J. Maldacena and A. Zhiboedov, Form factors at strong coupling via a Y Y -system , JHEP 1011
Original
2010
Earlier work this paper cites.
J. M. Drummond, J. Henn, G. P. Korchemsky, E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in 𝒩 = 4 \mathcal{N}=4 super-Yang-Mills theory , Nucl. Phys. B 828
Original
2010
Earlier work this paper cites.

Similar

Nima Arkani-Hamed, F. Cachazo, C. Cheung, J. Kaplan, A Duality For The S Matrix , JHEP 1003
Original
2010
Cited alongside, same era.
Z. Bern, L. J. Dixon, D. A. Kosower Progress in One-Loop QCD Computations , Ann. Rev. Nucl. Part. Sci. 46
Original
2011
Cited alongside, same era.
S. Raju, Recursion Relations for AdS/CFT Correlators , Phys. Rev. D 83
Original
2011
Cited alongside, same era.
A. Brandhuber, B. Spence, G. Travaglini and G. Yang, Form Factors in 𝒩 = 4 \mathcal{N}=4 Super Yang-Mills and Periodic Wilson Loops , JHEP 1101
Original
2011
Cited alongside, same era.
L. V. Bork, D. I. Kazakov, G. S. Vartanov, On form factors in 𝒩 = 4 \mathcal{N}=4 SYM , JHEP 1102

Then

N. Arkani-Hamed, J. Bourjaily, F. Cachazo, A. Goncharov, A. Postnikov and J. Trnka, Scattering Amplitudes and the Positive Grassmannian , (2012), arXiv:1212.5605 v1 [hep-th]
Original
2012
Later among the works it cites.
A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes , JHEP 1305
Original
2013
Later among the works it cites.
O. T. Engelund, R. Roiban, Correlation functions of local composite operators from generalized unitarity , JHEP 1303
Original
2013
Later among the works it cites.
L. V. Bork, On NMHV Form Factors in 𝒩 = 4 \mathcal{N}=4 SYM Theory from generalized unitarity , JHEP 01
Original
2013
Later among the works it cites.
R. H. Boels, B. A. Kniehl, O. V. Tarasov, Gang Yang, Color-kinematic Duality for Form Factors , JHEP 1302

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2014

On Form Factors in N=4 SYM Theory and Polytopes

Bork, L. V.

Understand

In this paper we discuss different recursion relations (BCFW and all-line shift) for the form factors of the operators from the $\mathcal{N}=4$ SYM stress-tensor current supermultiplet $T^{AB}$ in momentum twistor space.

We show that cancelations of spurious poles and equivalence between different types of recursion relations can be naturally understood using geometrical interpretation of the form factors as special limit of the volumes of polytopes in $\mathbb{C}\mathbb{P}^4$ in close analogy with the amplitude case.
We also show how different relations for the IR pole coefficients can be easily derived using momentum twistor representation.
This opens an intriguing question - which of powerful on-shell methods and ideas can survive off-shell ?