论文标题
基于对称的2型机器的时空演算
A space-time calculus based on symmetric 2-spinors
论文作者
论文摘要
在本文中，我们提出了对称旋转器的时空演算，其中包括具有许多索引收缩的产品，然后进行对称。由于所有操作都留在对称旋转器中，因此不需要涉及的索引操作。实际上，形式主义中不需要旋转指数。这也是一般的，因为在四维洛伦兹时空中的任何协变量张量表达都可以翻译成这种形式主义。还提供了计算机代数实现Symspin作为Mathematica的XACT的一部分。
In this paper we present a space-time calculus for symmetric spinors, including a product with a number of index contractions followed by symmetrization. As all operations stay within the class of symmetric spinors, no involved index manipulations are needed. In fact spinor indices are not needed in the formalism. It is also general because any covariant tensor expression in a 4-dimensional Lorentzian spacetime can be translated to this formalism. The computer algebra implementation SymSpin as part of xAct for Mathematica is also presented.
