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Characteristic cohomology of p-form gauge theories

par Henneaux, Marc ;Knaepen, Bernard ;Schomblond, Christiane
Référence Communications in Mathematical Physics, 186, 1, page (137-165)
Publication Publié, 1997

Article révisé par les pairs

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Résumé :

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.