Positroid stratification of orthogonal Grassmannian and ABJM amplitudes

DOI10.1007/JHEP09(2014)085zbMath1333.81254arXiv1402.1119OpenAlexW3098152412MaRDI QIDQ271119

Joonho Kim, Sangmin Lee

Publication date: 7 April 2016

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

Full work available at URL: https://arxiv.org/abs/1402.1119

zbMATH Keywords

scattering amplitudesfield theories in lower dimensionsextended supersymmetrydifferential and algebraic geometry

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (10)

Gravity on-shell diagrams ⋮ Evidence for a nonplanar amplituhedron ⋮ Logarithmic singularities and maximally supersymmetric amplitudes ⋮ ABJM amplitudes in U-gauge and a soft theorem ⋮ The Space of Circular Planar Electrical Networks ⋮ On the geometry of the orthogonal momentum amplituhedron ⋮ On-shell diagrams and the geometry of planar \( \mathcal{N}<4 \) SYM theories ⋮ The cd-indices of intervals in the uncrossing partial order on matchings ⋮ The uncrossing partial order on matchings is Eulerian ⋮ Positive geometry, local triangulations, and the dual of the amplituhedron

Cites Work

• Unnamed Item
• The Grassmannian origin of dual superconformal invariance
• A duality for the S matrix
• Dual superconformal symmetry of \(\mathcal{N} = 6\) Chern-Simons theory
• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• \(\mathcal = 5, 6\) superconformal Chern-Simons theories and M2-branes on orbifolds
• Tree-level recursion relation and dual superconformal symmetry of the ABJM theory
• The uncrossing partial order on matchings is Eulerian
• The Grassmannian and the twistor string: connecting all trees in \({\mathcal N} = 4\) SYM
• Enumeration of totally positive Grassmann cells
• Perturbative gauge theory as a string theory in twistor space
• New recursion relations for tree amplitudes of gluons
• The amplituhedron
• Classification of \(\mathcal{N} = 6\) superconformal theories of ABJM type
• Amplitudes of 3D and 6D maximal superconformal theories in supertwistor space
• Total positivity for cominuscule Grassmannians.
• Moduli spaces of local systems and higher Teichmüller theory
• Cluster algebras I: Foundations
• Positroid varieties: juggling and geometry
• The positive orthogonal Grassmannian and loop amplitudes of ABJM
• Scattering Amplitudes in Gauge Theory and Gravity
• Three-algebras and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>Chern-Simons gauge theories
• Conformal anomaly for amplitudes in $\mathcal {N}=6$ superconformal Chern–Simons theory
• The Distribution of Crossings of Chords Joining Pairs of 2n Points on a Circle
• Shelling totally nonnegative flag varieties

This page was built for publication: Positroid stratification of orthogonal Grassmannian and ABJM amplitudes