Heat-Kernel approach to the Atiyah--Singer Index of Non-Hermitian Dirac Operators

João Pedro Breveglieri da Silva, Dmitri Vassilevich

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