Spinor-Helicity Varieties

التفاصيل البيبلوغرافية
العنوان: Spinor-Helicity Varieties
المؤلفون: Maazouz, Yassine El, Pfister, Anaëlle, Sturmfels, Bernd
سنة النشر: 2024
المجموعة: Mathematics
High Energy Physics - Theory
مصطلحات موضوعية: Mathematics - Algebraic Geometry, High Energy Physics - Theory, Mathematics - Combinatorics
الوصف: 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.
Comment: 28 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.17331
رقم الأكسشن: edsarx.2406.17331
قاعدة البيانات: arXiv