English

Totally Anti-symmetric Spinor Tensors in Minkowski Space

Mathematical Physics 2025-10-30 v3 math.MP

Abstract

The spinor tensor ϵAB\epsilon_{AB} has a special property that its elements can be formulated into an algebraic expression of the indices. All the totally anti-symmetric tensors in Minkowski space are expressed by ϵAB\epsilon_{AB}. By using the property, we give a simple proof of the total anti-symmetry for the volume spinor tensor.

Keywords

Cite

@article{arxiv.2510.13531,
  title  = {Totally Anti-symmetric Spinor Tensors in Minkowski Space},
  author = {Peng Liu and Tanweer Sohail and Xiaoyu Jia},
  journal= {arXiv preprint arXiv:2510.13531},
  year   = {2025}
}