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Spinor-Helicity Varieties

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arxiv 2406.17331 v2 pith:BNY4LWGM submitted 2024-06-25 math.AG hep-thmath.CO

Yassine El Maazouz , Anaëlle Pfister , Bernd Sturmfels This is my paper · ORCID
classification math.AGhep-thmath.CO
keywords varietiesspinor-helicityalgebracombinatoricscommutativecomplementarycorrespondencedimension
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The spinor-helicity formalism in particle physics gives rise to natural subvarieties in the product of two Grassmannians. These include two-step flag varieties for subspaces of complementary dimension. Taking Hadamard products leads to Mandelstam varieties. We study these varieties through the lens of combinatorics and commutative algebra, and we explore their tropicalization, positive geometry, and scattering correspondence.

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  1. The CEGM NLSM

    hep-th 2025-02 conditional novelty 6.0 of 10

    A systematic deformation theory for CEGM amplitudes yields generalized nonlinear sigma model amplitudes, with dimension gcd(k,n)-1 for pure deformations and an embedding of ordinary NLSM amplitudes as residues.

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