Kinematic varieties for massless particles
Keywords:
Spinor brackets, Clifford algebra, Grassmannian, Determinantal Variety, TensorAbstract
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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Copyright (c) 2025 S. Rajan, B. Sturmfels, S. Sverrisdottir
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