Cancellation of spurious poles in \(N=4\) SYM: physical and geometric

DOI10.1016/j.aam.2023.102537zbMath1527.14096arXiv2105.00541OpenAlexW3158859609MaRDI QIDQ6107817

Susama Agarwala, Cameron Marcott

Publication date: 3 July 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00541

zbMATH Keywords

positive Grassmannians\(N=4\) SYM theoryspurious singularities

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Grassmannians, Schubert varieties, flag manifolds (14M15) Relationships between surfaces, higher-dimensional varieties, and physics (14J81)

Cites Work

• Eliminating spurious poles from gauge-theoretic amplitudes
• MHV diagrams in momentum twistor space
• Wilson loop diagrams and positroids
• From twistor actions to MHV diagrams
• Wilson loops in SYM \(\mathcal{N}=4\) do not parametrize an orientable space
• Decompositions of amplituhedra
• The twistor Wilson loop and the amplituhedron
• The correlahedron
• Combinatorics of the Deodhar decomposition of the Grassmannian
• Positroids, knots, and \(q,t\)-Catalan numbers
• Grassmannian Geometry of Scattering Amplitudes
• Positroid varieties: juggling and geometry
• Scattering amplitudes and Wilson loops in twistor space
• Positroids and non-crossing partitions
• Twistor-strings and gravity tree amplitudes
• Combinatorics of the geometry of Wilson loop diagrams II: Grassmann necklaces, dimensions, and denominators
• Combinatorics of the geometry of Wilson loop diagrams I: equivalence classes via matroids and polytopes
• AN ALGORITHM TO CONSTRUCT THE LE DIAGRAM ASSOCIATED TO A GRASSMANN NECKLACE
• Cluster structures in Schubert varieties in the Grassmannian
• Characterizations of transversal matroids and their presentations

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