Gauge invariant approach to low-spin anomalous conformal currents and shadow fields

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 in modified de Donder gauge that leads to decoupled equations of motion. We demonstrate that leftover on-shell gauge symmetries of bulk massive fields correspond to gauge symmetries of boundary anomalous currents and shadow fields, while the modified (Lorentz) de Donder gauge conditions for bulk massive fields correspond to differential constraints for boundary anomalous currents and shadow fields.

28 pages, RevTeX4, v2: Sections 9C and 10C extended. Typos corrected

References in corpus (63)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Type IIB superstring action in AdS_5 x S^5 background
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
• On higher spins and the tensionless limit of String Theory
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields
• Free geometric equations for higher spins
• On Four-point Functions in the CFT/AdS Correspondence
• Conformal Higher Spin Theory
• Conserved Currents, Consistency Relations and Operator Product Expansions in the Conformally Invariant O(N) Vector Model
• Light-cone Superstring in AdS Space-time
• On Massive High Spin Particles in (A)dS
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• Gauged Duality, Conformal Symmetry, and Spacetime with Two Times
• Static BPS black hole in 4d higher-spin gauge theory
• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• Light-cone form of field dynamics in anti-de Sitter space-time and AdS/CFT correspondence
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• Bosonic conformal higher--spin fields of any symmetry
• Quartet unconstrained formulation for massless higher spin fields
• On the origin of supergravity boundary terms in the AdS/CFT correspondence
• Massive totally symmetric fields in AdS(d)
• Unified BRST description of AdS gauge fields
• Conformally Covariant Differential Operators: Properties and Applications
• 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
• Conformal Higher Spin Currents in Any Dimension and AdS/CFT Correspondence
• Mixed-Symmetry Massless Fields in Minkowski space Unfolded
• Massless Poincare modules and gauge invariant equations
• Spinning particles and higher spin fields on (A)dS backgrounds
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
• Tractors, Mass and Weyl Invariance
• Gauge fields in (A)dS within the unfolded approach: algebraic aspects
• Shadows, currents and AdS fields
• Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
• Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields
• Star-Product and Massless Free Field Dynamics in $Ad{S}_4$
• Higher Spin Conformal Currents in Minkowski Space
• Weyl Invariance and the Origins of Mass
• Massive symmetric tensor field on AdS
• Scaling laws in hadronic processes and string theory
• Towards frame-like gauge invariant formulation for massive mixed symmetry bosonic fields. II. General Young tableau with two rows
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime
• Frame-like gauge invariant formulation for mixed symmetry fermionic fields
• CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS
• Gravity, Two Times, Tractors, Weyl Invariance and Six Dimensional Quantum Mechanics
• CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge
• Geometry and Symmetry Structures in 2T Gravity
• Current Exchanges for Reducible Higher Spin Multiplets and Gauge Fixing
• Operator Product Expansions and Consistency Relations in a O(N) Invariant Fermionic CFT for 2<d<4
• A derivation of Weyl gravity
• Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models
• Cold Quark Matter, Quadratic Corrections and Gauge/String Duality
• Weyl's Gauge Invariance: Conformal Geometry, Spinors, Supersymmetry, and Interactions
• General graviton exchange graph for four point functions in the AdS/CFT correspondence

Cited by in corpus (12)

• Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• Massive Higher Spins from BRST and Tractors
• Arbitrary spin conformal fields in (A)dS
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Anomalous conformal currents, shadow fields and massive AdS fields
• 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 approach to arbitrary spin fields, currents, and shadows
• Extended hamiltonian action for arbitrary spin fields in flat and AdS spaces
• Conformal totally symmetric arbitrary spin fermionic fields
• BRST-BV approach to massless fields adapted to AdS/CFT correspondence