On Spinors of Zero Nullity

Abstract

We present a necessary and sufficient condition for a spinor $\omega$ to be of nullity zero, i.e. such that for any null vector $v$, $v\omega \ne 0$. This dives deeply in the subtle relations between a spinor $\omega$ and ${\omega }_c$, the (complex) conjugate of $\omega$ belonging to the same spinor space.

Neater proof of Lemma 1 (thanks to Prof. J. Helmstetter).

References in corpus (2)

• Pure Subspaces, Generalizing the Concept of Pure Spinors
• On Spinors and Null Vectors

Cited by in corpus (2)

• On Negative Energies, Strings, Branes, and Braneworlds: A Review of Novel Approaches
• The Boolean SATisfiability Problem and the orthogonal group $O(n)$