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Superstring BRST no-ghost theorem at arbitrary picture number

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arxiv 1212.3592 v2 pith:EBIPZA73 submitted 2012-12-14 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords cohomologybrstarbitraryno-ghostnumberpairingpicturesuperstring
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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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  1. A consistent light-cone-gauge superstring field theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    A stubbed light-cone-gauge superstring field theory is constructed from the Witten-type A-infinity theory via Kaku-type and Kugo-Zwiebach-type theories.

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