The BCFW Tiling of the Amplituhedron

Chaim Even-Zohar, Tsviqa Lakrec, Ran J. Tessler

Research output: Contribution to journalArticlepeer-review

Abstract

The amplituhedron An,k,4 is a geometric object, discovered by ArkaniHamed and Trnka (2013) in the study of scattering amplitudes in quantum field theories. They conjecture that An,k,4 admits a decomposition into tiles, which is based on a certain combinatorial structure. The tiles are images of BCFW positroid cells in the nonnegative Grassmannian Gr k,n that arise from the Britto–Cachazo–Feng–Witten recurrence (2005).

Original languageEnglish
Article number#47
JournalSeminaire Lotharingien de Combinatoire
Issue number89
StatePublished - 2023
Externally publishedYes

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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