Details

Autor(en) / Beteiligte

• Ren, Lecheng
• Spradlin, Marcus
• Volovich, Anastasia

Titel

Symbol alphabets from tensor diagrams

Ist Teil von

• The journal of high energy physics, 2021-12, Vol.2021 (12), p.1-43, Article 79

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2021

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• A bstract We propose to use tensor diagrams and the Fomin-Pylyavskyy conjectures to explore the connection between symbol alphabets of n -particle amplitudes in planar N = 4 Yang-Mills theory and certain polytopes associated to the Grassmannian Gr(4 , n ). We show how to assign a web (a planar tensor diagram) to each facet of these polytopes. Webs with no inner loops are associated to cluster variables (rational symbol letters). For webs with a single inner loop we propose and explicitly evaluate an associated web series that contains information about algebraic symbol letters. In this manner we reproduce the results of previous analyses of n ≤ 8, and find that the polytope C † 4 9 encodes all rational letters, and all square roots of the algebraic letters, of known nine-particle amplitudes.