Cluster patterns in Landau and leading singularities via the amplituhedron
Annales de l’Institut Henri Poincaré D, Tome 10 (2023) no. 2, pp. 299-336.
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We advance the exploration of cluster-algebraic patterns in the building blocks of scattering amplitudes in super Yang–Mills theory. In particular, we conjecture that, given a maximal cut of a loop amplitude, Landau singularities and poles of each Yangian invariant appearing in any representation of the corresponding leading singularities can be found together in a cluster. We check these adjacencies for all one-loop amplitudes up to 9 points. Along the way, we also prove that all (rational) Yangian invariants are cluster adjacent, confirming original conjectures.
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Publié le :
DOI : 10.4171/aihpd/155
Publié le :
DOI : 10.4171/aihpd/155
Classification :
70-XX, 13-XX
Mots-clés : Scattering amplitudes, cluster algebras, maximally supersymmetric Yang–Mills
Mots-clés : Scattering amplitudes, cluster algebras, maximally supersymmetric Yang–Mills
@article{AIHPD_2023__10_2_299_0, author = {G\"urdo\u{g}an, \"Omer and Parisi, Matteo}, title = {Cluster patterns in {Landau} and leading singularities via the amplituhedron}, journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D}, pages = {299--336}, volume = {10}, number = {2}, year = {2023}, doi = {10.4171/aihpd/155}, mrnumber = {4581445}, zbl = {1515.70039}, language = {en}, url = {http://archive.numdam.org/articles/10.4171/aihpd/155/} }
TY - JOUR AU - Gürdoğan, Ömer AU - Parisi, Matteo TI - Cluster patterns in Landau and leading singularities via the amplituhedron JO - Annales de l’Institut Henri Poincaré D PY - 2023 SP - 299 EP - 336 VL - 10 IS - 2 UR - http://archive.numdam.org/articles/10.4171/aihpd/155/ DO - 10.4171/aihpd/155 LA - en ID - AIHPD_2023__10_2_299_0 ER -
%0 Journal Article %A Gürdoğan, Ömer %A Parisi, Matteo %T Cluster patterns in Landau and leading singularities via the amplituhedron %J Annales de l’Institut Henri Poincaré D %D 2023 %P 299-336 %V 10 %N 2 %U http://archive.numdam.org/articles/10.4171/aihpd/155/ %R 10.4171/aihpd/155 %G en %F AIHPD_2023__10_2_299_0
Gürdoğan, Ömer; Parisi, Matteo. Cluster patterns in Landau and leading singularities via the amplituhedron. Annales de l’Institut Henri Poincaré D, Tome 10 (2023) no. 2, pp. 299-336. doi : 10.4171/aihpd/155. http://archive.numdam.org/articles/10.4171/aihpd/155/
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