The amplituhedron and the one-loop Grassmannian measure

DOI10.1007/JHEP01(2016)112zbMath1388.81763arXiv1510.03553OpenAlexW1750573494MaRDI QIDQ1638153

Thomas Lam, Yuntao Bai, Song He

Publication date: 12 June 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03553

zbMATH Keywords

scattering amplitudessupersymmetric gauge theorydifferential and algebraic geometry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60)

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Cites Work

• Unnamed Item
• Eliminating spurious poles from gauge-theoretic amplitudes
• A note on polytopes for scattering amplitudes
• The Grassmannian origin of dual superconformal invariance
• A duality for the S matrix
• The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM
• Perturbative gauge theory as a string theory in twistor space
• The amplituhedron from momentum twistor diagrams
• The amplituhedron
• Positive amplitudes in the amplituhedron
• Scattering Amplitudes in Gauge Theory and Gravity
• Totally nonnegative Grassmannian and Grassmann polytopes