The BCFW Tiling of the Amplituhedron

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

The BCFW Tiling of the Amplituhedron

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

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

The amplituhedron A_n,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 A_n,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 language	English
Article number	#47
Journal	Seminaire Lotharingien de Combinatoire
Issue number	89
State	Published - 2023

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

Cite this

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title = "The BCFW Tiling of the Amplituhedron",

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).",

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N2 - 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).

AB - 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).

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M3 - مقالة

SN - 1286-4889

JO - Seminaire Lotharingien de Combinatoire

JF - Seminaire Lotharingien de Combinatoire

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ER -

The BCFW Tiling of the Amplituhedron

Abstract

All Science Journal Classification (ASJC) codes

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