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arXiv · 2408.16711

Kinematic Varieties for Massless Particles

Smita Rajan·Svala Sverrisdóttir·Bernd Sturmfels
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Abstract

We study algebraic varieties that encode the kinematic data for $n$ massless particles in $d$-dimensional spacetime subject to momentum conservation. Their coordinates are spinor brackets, which we derive from the Clifford algebra associated to the Lorentz group. This was proposed for $d=5$ in the recent physics literature. Our kinematic varieties are given by polynomial constraints on tensors with both symmetric and skew symmetric slices.

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Smita Rajan, Svala Sverrisdóttir, Bernd Sturmfels. 2024-08-29. Kinematic Varieties for Massless Particles. https://arxiv.org/abs/2408.16711

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