4 problems

The type-II compactification is described by pure spinors $\Phi^+$ and $\Phi^-$ on the internal six-manifold, and the three prepotentials $\mathcal{P}^x$ are given, for type IIA, b…

Let $I$ be the ideal in the Lie algebra used to describe the pure-spinor cohomology, and let $H_3(I)$ denote its third homology. For spinor indices $\alpha$ and $\dot{\beta}$, defi…

Let $I$ be the ideal whose abelianization is $I/[I,I]$, and let $W^{\alpha}$ be elements of $I$. The quotient $I/[I,I]$ records the corresponding field strengths, while its dual is…

The paper considers pure spinors as spinorial objects associated with null vectors and contrasts their role with that of fermions as elementary constituents of matter. Pure-spinor…