1982
DOI: 10.1063/1.525222
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Local conformal-invariance of the wave equation for finite-component fields. I. The conditions for invariance, and fully-reducible fields

Abstract: The conditions for local conformal-invariance of the wave equation are obtained for finite-component fields, of Types Ia and Ib [in the terminology of Mack and Salam, Ann. Phys. 53, 174 (1969).] These conditions generate a set of locally invariant free massless field equations and restrict the relevant representation of the Lie algebra [(k4⊕d)⊕sl(2,C)] in the index space of the field to belong to a certain class. Those fully-reducible representations which are in this class are described in full. The correspon… Show more

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Cited by 28 publications
(30 citation statements)
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“…Note that in 4d the equations for HS Weyl tensors are conformal, but the Fronsdal equations are not, see [37,38] and more recently [39]. The conformal symmetry of the HS theory appears to be broken by the gauge-noninvariant part of the stress-tensors, i.e.…”
Section: Corrections To Fronsdal Equations: Examplesmentioning
confidence: 99%
“…Note that in 4d the equations for HS Weyl tensors are conformal, but the Fronsdal equations are not, see [37,38] and more recently [39]. The conformal symmetry of the HS theory appears to be broken by the gauge-noninvariant part of the stress-tensors, i.e.…”
Section: Corrections To Fronsdal Equations: Examplesmentioning
confidence: 99%
“…According to the analysis of [22] unitary AdS fields may admit conformal symmetry only for s s r 1 = ¼ = (in particular p = r) and d even. If we restrict ourselves to the case p = r, H p ( ) W -is associated to a spinning singleton [20][21][22] = and s 1 > can be conformal in terms of potentials. Note that those with s = 1 are conformal in terms of potentials, while they all are known to be conformal in terms of curvatures.…”
Section: Generic Pm Gauge Fields In Adsmentioning
confidence: 99%
“…The first one is purely representation-theoretical and studies which (A)dS or Poincaré irreps (usually unitary ones) can be lifted to irreps of the conformal group [19][20][21][22][23]. By construction, these considerations concern the gauge invariant spectrum of the theory.…”
Section: Classification Of Symmetriesmentioning
confidence: 99%
“…where d is a normal ordering constant [11,12]. L i are the Lorentz generators, K i are the conformal boosts and ∆ is the dilaton generator.…”
Section: Dirac Analysismentioning
confidence: 99%