平直空间中的可容许高自旋代数
Admissible higher-spin algebras in flat space
- I.E. Tamm Theory Department, Lebedev Physical Institute（列别杰夫物理研究所 I.E. 塔姆理论部）
- Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University（莫斯科国立大学理论与数学物理研究所）
机构由 AI 辅助整理，请以论文原文为准。
中文总结 AI 辅助
该研究聚焦四维闵可夫斯基空间中的可容许高自旋代数，经简化假设将其分为共线与半共线两类，通过求解雅可比恒等式得到两类李代数，还发现结合性共线代数，为高自旋代数研究提供新分类与结果。
中文摘要 AI 辅助
我们研究四维闵可夫斯基空间中的可容许高自旋代数，即那些能将无质量高自旋场塔作为表示的代数。在若干简化假设下，我们证明这类代数可分为两类，分别称为共线型与半共线型，手征高自旋代数是后者的一个例子。对于此处考虑的共线假设，直接求解雅可比恒等式可得到两类李代数，我们还发现一个结合性共线代数，除非添加内部自由度，否则它是交换的。
英文摘要
We study admissible higher-spin algebras in four-dimensional Minkowski space, namely algebras that admit the tower of massless higher-spin fields as a representation. Under several simplifying assumptions, we show that these can be of two types, which we refer to as collinear and half-collinear. The chiral higher-spin algebra provides an example of the latter. For the collinear ansatz considered here, direct solution of the Jacobi identity yields two families of Lie algebras. We also find an associative collinear algebra, which is commutative unless internal degrees of freedom are added.
