Kinematic Varieties for Massless Particles
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910969296322560 |
|---|---|
| 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 |