Conformal Lagrangians from the (formal) near boundary analysis of AdS gauge fields
arXiv:2005.06433 · doi:10.1016/j.nuclphysb.2021.115403
Abstract
A simple generating procedure for Lagrangians of conformal gauge fields of mixed-symmetry type is presented. The construction originates from the analysis of the near-boundary behaviour of the associated AdS gauge fields using the ambient space approach to leading boundary values. Manifestly ambient form of the Lagrangian is also obtained. As an illustration we apply the procedure to the simplest mixed-symmetry conformal gauge field, described by the two-row Young diagram, and derive the explicit component form of the respective Lagrangian.
arXiv commentManifestly invariant form of the Lagrangian is added, typos corrected, and refs added
References in corpus (20)
- Large N Field Theories, String Theory and Gravity
- The Holographic Weyl anomaly
- Lecture Notes on Holographic Renormalization
- Six-dimensional Methods for Four-dimensional Conformal Field Theories
- How massless are massless fields in
- Conformal Higher Spin Theory
- Higher order singletons, partially massless fields and their boundary values in the ambient approach
- On limits of superstring in AdS_5 x S^5
- Bosonic conformal higher--spin fields of any symmetry
- Unified BRST description of AdS gauge fields
- Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
- Lagrangian Formulation for Free Mixed-Symmetry Bosonic Gauge Fields in (A)dS(d)
- Parent form for higher spin fields on anti-de Sitter space
- Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields
- Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields
- First Order Formalism for Mixed Symmetry Tensor Fields
- Notes on the ambient approach to boundary values of AdS gauge fields
- Boundary values of mixed-symmetry massless fields in AdS space
- Massless hook field in AdS(d+1) from the holographic perspective
- On the structure of the conformal higher-spin wave operators