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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2408.16711 |
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| _version_ | 1866910969296322560 |
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| author | Rajan, Smita Sverrisdóttir, Svala Sturmfels, Bernd |
| author_facet | Rajan, Smita Sverrisdóttir, Svala Sturmfels, Bernd |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16711 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kinematic Varieties for Massless Particles Rajan, Smita Sverrisdóttir, Svala Sturmfels, Bernd Algebraic Geometry High Energy Physics - Theory 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. |
| title | Kinematic Varieties for Massless Particles |
| topic | Algebraic Geometry High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.16711 |