Gauge invariant approach to low-spin anomalous conformal currents and shadow fields
R.R. Metsaev
TL;DR
This paper develops a gauge invariant framework for low-spin anomalous conformal currents and shadow fields in higher-dimensional flat spacetime, connecting boundary conformal fields with bulk AdS fields via the AdS/CFT correspondence.
Contribution
It introduces a gauge invariant formulation involving Stueckelberg and auxiliary fields, and explores the AdS/CFT correspondence for these anomalous fields.
Findings
Gauge invariant two-point vertices for shadow fields are constructed.
The framework relates boundary gauge symmetries to bulk on-shell gauge symmetries.
Modified de Donder gauge simplifies bulk equations and matches boundary differential constraints.
Abstract
Conformal low-spin anomalous currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries are realized by involving Stueckelberg and auxiliary fields. Gauge invariant differential constraints for anomalous currents and shadow fields and realization of global conformal symmetries are obtained. Gauge invariant two-point vertices for anomalous shadow fields are also obtained. In Stueckelberg gauge frame, these gauge invariant vertices become the standard two-point vertices of CFT. Light-cone gauge two-point vertices of the anomalous shadow fields are derived. AdS/CFT correspondence for anomalous currents and shadow fields and the respective normalizable and non-normalizable solutions of massive low-spin AdS fields is studied. The bulk fields are considered…
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