On the cohomology and inner products of the Berkovits superparticle and superstring
arXiv:hep-th/0404021 · doi:10.1016/j.nuclphysb.2004.10.031
Abstract
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 Berkovits' conjectured prescription, which is one element of an equivalence class. We discuss the Chern-Simons style action for D=10 super Yang-Mills, which is now manifestly superspace covariant.
arXiv comment14 pages, REVTEX4. Published version. Some minor clarifications, including proof of isomorphisms of string cohomology appended to sec III
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