Abstract
It has recently been shown that generalized connections of the (A)dS d symmetry algebra provide an effective geometric and algebraic framework for all types of gauge fields in (A)dS d , both for massless and partially-massless. The equations of motion are equipped with a nilpotent operator called σ − 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 σ −-cohomology is computed for all gauge theories of this type and the field-theoretical interpretation is discussed. In the simplest cases the σ −-cohomology is equivalent to the ordinary Lie algebra cohomology.
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ArXiv ePrint: 0910.3334
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Skvortsov, E.D. Gauge fields in (A)dS d within the unfolded approach: algebraic aspects. J. High Energ. Phys. 2010, 106 (2010). https://doi.org/10.1007/JHEP01(2010)106
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DOI: https://doi.org/10.1007/JHEP01(2010)106