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Spinor-Helicity Varieties

delete2025-12-31
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PRE
AI
Y
Yassine El Maazouz *
A
Anaëlle Pfister
B
Bernd Sturmfels
DOI:10.1137/24M1671840delete
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Abstract

Abstract

En 中文
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.
Keywords:
Mandelstam invariants
scattering amplitudes
flag variety
Gro
bner and Khovanskii bases

Journal

S
SIAM Journal on Applied Algebra and Geometry
IF:
1.6
Papers:
10
Citations:
0

Organization

C
california institute of technology
Scholars:
2.6K
Papers: 1.1K
Citations: 0