On the cohomology and inner products of the Berkovits superparticle and superstring Original Research Article

We describe the complete cohomology of the Berkovits BRST operator for the superparticle. It is non-zero at eight ghost numbers, splitting into two quartets, the members of each quartet being completely isomorphic. Based only on considerations of the isomorphisms of the cohomology, and using only the standard inner product, we derive the inner product appropriate for string amplitudes. It is in agreement with Berkovitsʹ conjectured prescription, which is one element of an equivalence class. We discuss the Chern–Simons style action for image super-Yang–Mills, which is now manifestly superspace covariant.