Abstract
The characteristic cohomologyH k char(d) for an arbitrary set of freep-form gauge fields is explicitly worked out in all form degreesk < n — 1, wheren is the spacetime dimension. It is shown that this cohomology is finite-dimensional and completely generated by the forms dual to the field strengths. The gauge invariant characteristic cohomology is also computed. The results are extended to interactingp-form gauge theories with gauge invariant interactions. Implications for the BRST cohomology are mentioned.
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Henneaux, M., Knaepen, B. & Schomblond, C. Characteristic cohomology ofp-form gauge theories. Commun. Math. Phys. 186, 137–165 (1997). https://doi.org/10.1007/BF02885676
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DOI: https://doi.org/10.1007/BF02885676