Superstring BRST no-ghost theorem at arbitrary picture number

Mykola Dedushenko

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arXiv · 1212.3592

Superstring BRST no-ghost theorem at arbitrary picture number

Mykola Dedushenko

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Abstract

A simple and self-contained treatment of the superstring BRST no-ghost theorem at non-zero momentum and arbitrary picture number is presented. We prove by applying the spectral sequence that the absolute BRST cohomology is isomorphic to two copies of the light-cone spectrum at adjacent ghost numbers. We single out a representative in each cohomology class. A non-degenerate pairing between the Fock spaces, an induced pairing on the cohomology and a Hermitian inner product on the cohomology are constructed.

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Mykola Dedushenko. 2012-12-14. Superstring BRST no-ghost theorem at arbitrary picture number. https://arxiv.org/abs/1212.3592

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