Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators

João Pedro Breveglieri da Silva, Dmitri Vassilevich

If an operator $H$ anticommutes with a chirality operator $\hat{I}{“}_{\ast }$ such that $\hat{I}{“}_{\ast }^2=1$, the null space of $H$ can be decomposed in a direct sum of two spaces having positive and neg…