Boundary values of mixed-symmetry massless fields in AdS space
arXiv:1512.06443 · doi:10.1016/j.nuclphysb.2016.10.006
Abstract
We elaborate on the ambient space approach to boundary values of gauge fields and apply it to massless fields of mixed-symmetry type. In the most interesting case of odd-dimensional bulk the respective leading boundary values are conformal gauge fields subject to the invariant equations. Our approach gives a manifestly conformal and gauge covariant formulation for these fields. Although such formulation employs numerous auxiliary fields, it comes with a systematic procedure for their elimination that results in a more concise formulation involving only a reasonable set of auxiliaries, which eventually (at least in principle) can be reduced to the minimal formulation in terms of the irreducible Lorentz tensors. The simplest mixed-symmetry field, namely, the rank-3 tensor associated to the two-row Young diagram, is considered in some details.
arXiv comment29 pages, v2: minor corrections, references added, to appear in Nucl. Phys. B
References in corpus (35)
- Large N Field Theories, String Theory and Gravity
- Lecture Notes on Holographic Renormalization
- Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
- How massless are massless fields in
- Conformal Higher Spin Theory
- Geometry of jet spaces and integrable systems
- Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
- Higher order singletons, partially massless fields and their boundary values in the ambient approach
- Cubic interactions of massless higher spins in (A)dS: metric-like approach
- On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
- Parent field theory and unfolding in BRST first-quantized terms
- Bosonic conformal higher--spin fields of any symmetry
- Unified BRST description of AdS gauge fields
- Holography, Unfolding and Higher-Spin Theory
- Constant Curvature Algebras and Higher Spin Action Generating Functions
- Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
- On the covariant quantization of tensionless bosonic strings in AdS spacetime
- Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
- Gauge fields in (A)dS within the unfolded approach: algebraic aspects
- 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
- Conformally Covariant Differential Operators: Symmetric Tensor Fields
- Massive Higher Spins from BRST and Tractors
- Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
- Towards frame-like gauge invariant formulation for massive mixed symmetry bosonic fields. II. General Young tableau with two rows
- Mixed-symmetry massive fields in AdS(5)
- Scalar Field in Any Dimension from the Higher Spin Gauge Theory Perspective
- Notes on the ambient approach to boundary values of AdS gauge fields
- Mixed-symmetry tensor conserved currents and AdS/CFT correspondence
- Notes on conformal invariance of gauge fields
- Unfolded form of conformal equations in M dimensions and o(M+2)-modules
- Conformal theories including conformal gravity as gauge theories on the hypercone
- Lagrangian conformal higher spin theory
- CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields
Cited by in corpus (15)
- Shift Symmetries in (Anti) de Sitter Space
- Continuous spin fields of mixed-symmetry type
- Type-B Formal Higher Spin Gravity
- Continuous-spin mixed-symmetry fields in AdS(5)
- Unified formulation for helicity and continuous spin fermionic fields
- Cubic interactions of arbitrary spin fields in 3d flat space
- On the structure of the conformal higher-spin wave operators
- Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra
- Ambitwistors, oscillators and massless fields on
- Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles
- Character Integral Representation of Zeta function in AdS: II. Application to partially-massless higher-spin gravities
- Shift Symmetries for p-Forms and Mixed Symmetry Fields on (A)dS
- Fermionic Shift Symmetries in (Anti) de Sitter Space
- Conformal Lagrangians from the (formal) near boundary analysis of AdS gauge fields
- General light-cone gauge approach to conformal fields and applications to scalar and vector fields