The Scattering Variety
arXiv:1403.6833 · doi:10.1007/JHEP10(2014)135
Abstract
The so-called Scattering Equations which govern the kinematics of the scattering of massless particles in arbitrary dimensions have recently been cast into a system of homogeneous polynomials. We study these as affine and projective geometries which we call Scattering Varieties by analyzing such properties as Hilbert series, Euler characteristic and singularities. Interestingly, we find structures such as affine Calabi-Yau threefolds as well as singular K3 and Fano varieties.
29 pages; v2: substantially improved presentation, results added (Hodge diamond), references added, typos corrected
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Cited by in corpus (4)
- Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
- CHY representations for gauge theory and gravity amplitudes with up to three massive particles
- Scattering equations and virtuous kinematic numerators and dual-trace functions
- Fermions and the scattering equations