Built on

J. Golden, A. J. McLeod, M. Spradlin, and A. Volovich, “The Sklyanin Bracket and Cluster Adjacency at All Multiplicity,” JHEP
Original
1902
Earlier work this paper cites.
S. Caron-Huot, L. J. Dixon, F. Dulat, M. von Hippel, A. J. McLeod, and G. Papathanasiou, “Six-Gluon amplitudes in planar 𝒩 \mathcal{N} = 4 super-Yang-Mills theory at six and seven loops,” JHEP
Original
1903
Earlier work this paper cites.
J. Mago, A. Schreiber, M. Spradlin, and A. Volovich, “Yangian invariants and cluster adjacency in 𝒩 \mathcal{N} = 4 Yang-Mills,” JHEP
Original
1906
Earlier work this paper cites.
S. He, Z. Li, and C. Zhang, “Two-loop Octagons, Algebraic Letters and Q ¯ \bar{Q} Equations,” Phys. Rev. D
Original
1911
Earlier work this paper cites.
J. Drummond, J. Foster, Ö. Gürdoğan, and C. Kalousios, “Algebraic singularities of scattering amplitudes from tropical geometry,” arXiv:1912.08217 [hep-th]
Original
1912
Earlier work this paper cites.
N. Henke and G. Papathanasiou, “How tropical are seven- and eight-particle amplitudes?,” arXiv:1912.08254 [hep-th]
Original
1912
Earlier work this paper cites.
N. Arkani-Hamed, T. Lam, and M. Spradlin, “Non-perturbative geometries for planar 𝒩 = 4 \mathcal{N}=4 SYM amplitudes,” arXiv:1912.08222 [hep-th]
Original
1912
Earlier work this paper cites.
N. Arkani-Hamed, T. Lam, and M. Spradlin, “Positive configuration space,” arXiv:2003.03904 [math.CO]
Original
2003
Earlier work this paper cites.
D. Speyer and L. Williams, “The tropical totally positive grassmannian,” Journal of Algebraic Combinatorics
2005
Earlier work this paper cites.
Ö. Gürdoğan and M. Parisi, “Cluster patterns in Landau and Leading Singularities via the Amplituhedron,” arXiv:2005.07154 [hep-th]
Original
2005
Earlier work this paper cites.
J. S. Scott, “Grassmannians and Cluster Algebras,” Proceedings of the London Mathematical Society
2006
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, “The Amplituhedron,” JHEP
Original
2007
Earlier work this paper cites.

Similar

J. Mago, A. Schreiber, M. Spradlin, and A. Volovich, “Symbol Alphabets from Plabic Graphs,” arXiv:2007.00646 [hep-th]
Original
2007
Cited alongside, same era.
S. He, Z. Li, and C. Zhang, “The symbol and alphabet of two-loop NMHV amplitudes from Q ¯ \bar{Q} equations,” arXiv:2009.11471 [hep-th]
Original
2009
Cited alongside, same era.
L. J. Dixon, J. M. Drummond, and J. M. Henn, “Bootstrapping the three-loop hexagon,” JHEP
Original
2011
Cited alongside, same era.
S. Caron-Huot and S. He, “Jumpstarting the All-Loop S-Matrix of Planar N=4 Super Yang-Mills,” JHEP
Original
2012
Cited alongside, same era.
A. Hodges, “Eliminating spurious poles from gauge-theoretic amplitudes,” JHEP

Then

T. Dennen, M. Spradlin, and A. Volovich, “Landau Singularities and Symbology: One- and Two-loop MHV Amplitudes in SYM Theory,” JHEP
Original
2016
Later among the works it cites.
L. J. Dixon, J. Drummond, T. Harrington, A. J. McLeod, G. Papathanasiou, and M. Spradlin, “Heptagons from the Steinmann Cluster Bootstrap,” JHEP
Original
2017
Later among the works it cites.
T. Dennen, I. Prlina, M. Spradlin, S. Stanojevic, and A. Volovich, “Landau Singularities from the Amplituhedron,” JHEP
Original
2017
Later among the works it cites.
I. Prlina, M. Spradlin, J. Stankowicz, S. Stanojevic, and A. Volovich, “All-Helicity Symbol Alphabets from Unwound Amplituhedra,” JHEP
Original
2018
Later among the works it cites.
I. Prlina, M. Spradlin, and S. Stanojevic, “All-loop singularities of scattering amplitudes in massless planar theories,” Phys. Rev. Lett

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…

2020

A Note on Letters of Yangian Invariants

He, Song, Li, Zhenjie

Understand

Motivated by reformulating Yangian invariants in planar ${\cal N}=4$ SYM directly as $d\log$ forms on momentum-twistor space, we propose a purely algebraic problem of determining the arguments of the $d\log$'s, which we call "letters", for any Yangian invariant.

These are functions of momentum twistors $Z$'s, given by the positive coordinates $\alpha$'s of parametrizations of the matrix $C(\alpha)$, evaluated on the support of polynomial equations $C(\alpha) \cdot Z=0$.
We provide evidence that the letters of Yangian invariants are related to the cluster algebra of Grassmannian $G(4,n)$, which is relevant for the symbol alphabet of $n$-point scattering amplitudes.
For $n=6,7$, the collection of letters for all Yangian invariants contains the cluster ${\cal A}$ coordinates of $G(4,n)$.