Anomalous conformal currents, shadow fields and massive AdS fields
arXiv:1110.3749 · doi:10.1103/PhysRevD.85.126011
Abstract
In the framework of gauge invariant approach involving Stueckelberg and auxiliary fields, totally symmetric arbitrary spin anomalous conformal current and shadow field in flat space-time of dimension greater than or equal to four are studied. Gauge invariant differential constraints for such anomalous conformal current and shadow field and realization of global conformal symmetries are obtained. Gauge invariant two-point vertex of the arbitrary spin anomalous shadow field is also obtained. In Stueckelberg gauge frame, the two-point gauge invariant vertex becomes the standard two-point vertex of CFT. Light-cone gauge two-point vertex of the arbitrary spin anomalous shadow field is derived. The AdS/CFT correspondence for arbitrary spin anomalous conformal current and shadow field and the respective normalizable and non-normalizable modes of massive arbitrary spin AdS field is studied. The AdS field is considered in modified de Donder gauge which simplifies considerably the study of AdS/CFT correspondence. We show that on-shell leftover gauge symmetries of bulk massive field are related to gauge symmetries of boundary anomalous conformal current and shadow field, while the modified de Donder gauge condition for bulk massive field is related to differential constraints for boundary anomalous conformal current and shadow field.
21 pages, RevTeX4, v3: Typos in Eq.(7.4) corrected. Appendix A added. arXiv admin note: substantial text overlap with arXiv:1011.4261
References in corpus (21)
- Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
- AdS_4/CFT_3 Construction from Collective Fields
- 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
- Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
- 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
- On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
- Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space
- Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
- Tractors, Mass and Weyl Invariance
- Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
- Shadows, currents and AdS fields
- Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
- On Lagrangian formulation of Higher Spin Theories on AdS
- Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
- Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime
- CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge
- Geometry and Symmetry Structures in 2T Gravity
- Gauge invariant approach to low-spin anomalous conformal currents and shadow fields
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- Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
- BRST invariant effective action of shadow fields, conformal fields, and AdS/CFT
- CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields
- Light-cone gauge massive and partially-massless fields in AdS(4)
- Light-cone gauge approach to arbitrary spin fields, currents, and shadows
- Extended hamiltonian action for arbitrary spin fields in flat and AdS spaces
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