Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields

Abstract

In the framework of gauge invariant Stueckelberg approach, totally symmetric arbitrary spin shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant two-point vertices for such shadow fields are obtained. We demonstrate that, in Stueckelberg gauge frame, these gauge invariant vertices become the standard two-point vertices of CFT. Light-cone gauge two-point vertices of the shadow fields are also obtained. AdS/CFT correspondence for the shadow fields and the non-normalizable solutions of free massless totally symmetric arbitrary spin AdS fields is studied. AdS fields are considered in a modified de Donder gauge and this simplifies considerably the study of AdS/CFT correspondence. We demonstrate that the bulk action, when it is evaluated on solution of the Dirichlet problem, leads to the two-point gauge invariant vertex of shadow field. Also we shown that the bulk action evaluated on solution of the Dirichlet problem leads to new description of conformal fields. The new description involves Stueckelberg gauge symmetries and gives simple higher-derivative Lagrangian for the conformal arbitrary spin field. In the Stueckelberg gauge frame, our Lagrangian becomes the standard Lagrangian of conformal field. Light-cone gauge Lagrangian of the arbitrary spin conformal field is also obtained.

v3: 31 pages, RevTeX4. Appendix D improved. Typos corrected

References in corpus (21)

• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Gravitational Form Factors of Vector Mesons in an AdS/QCD Model
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• Static BPS black hole in 4d higher-spin gauge theory
• Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• Quartet unconstrained formulation for massless higher spin fields
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
• Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
• Shadows, currents and AdS fields
• Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
• Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields
• On Lagrangian formulation of Higher Spin Theories on AdS
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Towards frame-like gauge invariant formulation for massive mixed symmetry bosonic fields. II. General Young tableau with two rows
• Frame-like gauge invariant formulation for mixed symmetry fermionic fields
• CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS
• CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge
• Current Exchanges for Reducible Higher Spin Multiplets and Gauge Fixing

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