Gauge fields in (A)dS within the unfolded approach: algebraic aspects

Details Gauge fields in (A)dS within the unfolded approach: algebraic aspects Gauge fields in (A)dS within the unfolded approach: algebraic aspects

2009-10-19

arxiv.org/abs/0910.3334v2

JHEP 1001:106,2010

Physics

High Energy Physics

High Energy Physics - Theory

59 pages, replaced with revised verion

Scientific paper

10.1007/JHEP01(2010)106

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 $\sigma_-$ 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 $\sigma_-$-cohomology is computed for all gauge theories of this type and the field-theoretical interpretation is discussed. In the simplest cases the $\sigma_-$-cohomology is equivalent to the ordinary Lie algebra cohomology.

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