Gauge fields in \({\text{(A)dS}}_{d }\) within the unfolded approach: Algebraic aspects

DOI10.1007/JHEP01(2010)106zbMATH Open1269.81089arXiv0910.3334MaRDI QIDQ359213

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Publication date: 9 August 2013

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Abstract: It has recently been shown that generalized connections of the (A)dS space symmetry algebra provide an effective geometric and algebraic framework for all types of gauge fields in (A)dS, both for massless and partially-massless. The equations of motion are equipped with a nilpotent operator called $sigm{a}_{-}$ whose cohomology groups correspond to the dynamically relevant quantities like differential gauge parameters, dynamical fields, gauge invariant field equations, Bianchi identities etc. In the paper the $sigm{a}_{-}$-cohomology is computed for all gauge theories of this type and the field-theoretical interpretation is discussed. In the simplest cases the $sigm{a}_{-}$-cohomology is equivalent to the ordinary Lie algebra cohomology.

Full work available at URL: https://arxiv.org/abs/0910.3334

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