On Higher Spin Theory: Strings, BRST, Dimensional Reductions

Abstract

We briefly review some modern developments in higher spin field theory and their links with superstring theory. The analysis is based on various BRST constructions allowing to derive the Lagrangians for massive and massless higher spin fields on flat or constant curvature backgrounds of arbitrary dimensions.

8 pages, contribution to the proceedings of the RTN Workshop in Copenhagen, September 15-20, 2003, published version

References in corpus (6)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• On the geometry of higher-spin gauge fields
• On geometric equations and duality for free higher spins
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• On the covariant quantization of tensionless bosonic strings in AdS spacetime
• Geometric Second Order Field Equations for General Tensor Gauge Fields

Cited by in corpus (63)

• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• String Lessons for Higher-Spin Interactions
• General trilinear interaction for arbitrary even higher spin gauge fields
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Higher-Spin Interactions: four-point functions and beyond
• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Parent field theory and unfolding in BRST first-quantized terms
• Quartet unconstrained formulation for massless higher spin fields
• BRST approach to Lagrangian construction for fermionic massless higher spin fields
• Constant Curvature Algebras and Higher Spin Action Generating Functions
• Dynamics of Higher Spin Fields and Tensorial Space
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
• Massless Poincare modules and gauge invariant equations
• Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
• String Theory and The Velo-Zwanziger Problem
• Geometric Lagrangians for massive higher-spin fields
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• (A)dS exchanges and partially-massless higher spins
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• The continuous spin limit of higher spin field equations
• String theory triplets and higher-spin curvatures
• Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields
• Transverse Invariant Higher Spin Fields
• Off-shell massive N=1 supermultiplets in three dimensions
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• Interactions of Massless Higher Spin Fields From String Theory
• On Lagrangian formulation of Higher Spin Theories on AdS
• Massive Higher Spins from BRST and Tractors
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
• Parent formulations, frame-like Lagrangians, and generalized auxiliary fields
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• Current Exchanges for Reducible Higher Spin Multiplets and Gauge Fixing
• Ordinary-derivative formulation of conformal low-spin fields
• Radial Reduction and Cubic Interaction for Higher Spins in (A)dS space
• Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?
• $Sp(8)$ invariant higher spin theory, twistors and geometric BRST formulation of unfolded field equations
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• Geometric massive higher spins and current exchanges
• BRST approach to Lagrangian formulation of bosonic totally antisymmeric tensor fields in curved space
• A local action for fermionic unconstrained higher spin gauge fields in (A)dS space
• Geometry and dynamics of higher-spin frame fields
• Constrained BRST- BFV Lagrangian formulations for Higher Spin Fields in Minkowski Spaces
• BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on $R^{1,d-1}$
• Covariant actions and propagators for all spins, masses, and dimensions
• On manifolds admitting the consistent Lagrangian formulation for higher spin fields
• BRST Lagrangian construction for spin-2 field in Einstein space
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
• BRST Analysis of the Supersymmetric Higher Spin Field Models
• BRST Lagrangian construction for spin-3/2 field in Einstein space
• Symmetric vs. chiral approaches to massive fields with spin
• On equivalence of gauge-invariant models for massive integer-spin fields
• On massive higher spin supermultiplets in d=4
• Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension
• All actions for free massive higher-spin fields
• Higher spin Lagrangians from higher derivative diffeomorphisms