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The σ− Cohomology Analysis for Symmetric Higher-Spin Fields

Symmetry. 2021. Vol. 13. No. 8. Article 1498.
Bychkov A., Ushakov K., Vasiliev M.

In this paper, we present a complete proof of the so-called First On-Shell Theorem that determines dynamical content of the unfolded equations for free symmetric massless fields of arbitrary integer spin in any dimension and arbitrary integer or half-integer spin in four dimensions. This is achieved by calculation of the respective σ − cohomology both in the tensor language in Minkowski space of any dimension and in terms of spinors in A d S 4 . In the d-dimensional case H p ( σ − ) is computed for any p and interpretation of H p ( σ − ) is given both for the original Fronsdal system and for the associated systems of higher form fields.

Research target: Physics Mathematics
Language: English
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Keywords: cohomologyhigher spin theory
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