Bulk Q-cocycles determine renormalized and anomaly Q-cocycles on asymptotic boundaries of gauge PDEs, with the anomaly structure reproducing the holographic Weyl anomaly in AdS.
A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
This is the original manuscript dated March 9th 1983, typeset by the Editors for the Proceedings of the Midwest Geometry Conference 2007 held in memory of Thomas Branson. Stephen Paneitz passed away on September 1st 1983 while attending a conference in Clausthal and the manuscript was never published. For more than 20 years these few pages were circulated informally. In November 2004, as a service to the mathematical community, Tom Branson added a scan of the manuscript to his website. Here we make it available more formally. It is surely one of the most cited unpublished articles. The differential operator defined in this article plays a key role in conformal differential geometry in dimension 4 and is now known as the Paneitz operator.
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UNVERDICTED 4representative citing papers
Constructs an N=2 Liouville SCFT in 4D, shows no quantum correction to the classical background charge, finds c=0 and negative a depending on the charge, and derives integral expressions for superfield vertex operator correlators.
Anomaly-induced corrections to the Newtonian potential in the Boulware vacuum disagree with effective quantum gravity results unless the long-distance stress tensor asymptotics are altered.
An auxiliary scalar compensator enables conformal regularization of a vector field model in D ≠ 4, resulting in independent scalar dynamics and interesting properties in the four-dimensional limit.
citing papers explorer
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Asymptotic boundary structure of Lagrangian gauge theories
Bulk Q-cocycles determine renormalized and anomaly Q-cocycles on asymptotic boundaries of gauge PDEs, with the anomaly structure reproducing the holographic Weyl anomaly in AdS.
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$\mathcal{N}=2$ Liouville SCFT in Four Dimensions
Constructs an N=2 Liouville SCFT in 4D, shows no quantum correction to the classical background charge, finds c=0 and negative a depending on the charge, and derives integral expressions for superfield vertex operator correlators.
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Trace anomaly, effective approach, and gravitational potential
Anomaly-induced corrections to the Newtonian potential in the Boulware vacuum disagree with effective quantum gravity results unless the long-distance stress tensor asymptotics are altered.
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Conformal anomaly in a vector field model with auxiliary scalar field
An auxiliary scalar compensator enables conformal regularization of a vector field model in D ≠ 4, resulting in independent scalar dynamics and interesting properties in the four-dimensional limit.