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Conformally Covariant Differential Operators: Symmetric Tensor Fields

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arxiv gr-qc/9708040 v1 pith:PB7OYSOK submitted 1997-08-19 gr-qc hep-th

Conformally Covariant Differential Operators: Symmetric Tensor Fields

classification gr-qc hep-th
keywords operatorsconformallycovariantdifferentialfieldssymmetrictensoraccord
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We extend previous work on conformally covariant differential operators to consider the case of second order operators acting on symmetric traceless tensor fields. The corresponding flat space Green function is explicitly constructed and shown to be in accord with the requirements of conformal invariance.

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    Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.