Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation

Abstract

We give a detailed review of the construction of gauge invariant Lagrangians for free and interacting higher spin fields using the BRST approach developed over the past few years.

Extended version of the contribution to the volume dedicated to the 60th birthday of Prof I.L. Buchbinder; 58 pages. v2 References added, some typos fixed, a couple of clarifications added. v3 To appear in International journal of Modern Physics A (pubished version), some typos fixed, references added

References in corpus (28)

• Consistency Conditions on the S-Matrix of Massless Particles
• Current Exchanges and Unconstrained Higher Spins
• An Introduction to Free Higher-Spin Fields
• On massive spin 2 interactions
• Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Universal Limits on Massless High-Spin Particles
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• On Higher Spins with a Strong Sp(2,R) Condition
• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
• Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
• Geometric Lagrangians for massive higher-spin fields
• (A)dS exchanges and partially-massless higher spins
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space
• Higher-spin Chern-Simons theories in odd dimensions
• GL Flatness of OSp(1|2n) and Higher Spin Field Theory from Dynamics in Tensorial Spaces
• E_{11} and Higher Spin Theories
• Classical BRST charge for nonlinear algebras
• Geometry and dynamics of higher-spin frame fields
• On interactions of higher spin fields with gravity and branes in AdS_5
• Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field
• Higher spin algebras as higher symmetries
• Progress in Gauge Invariant Lagrangian Construction for Massive Higher Spin Fields
• Gauge Theories on A(dS) space and Killing Vectors
• On Lagrangian Formulation for Half-integer HS Fields within Hamiltonian BRST Approach
• BRST charge for nonlinear algebras

Cited by in corpus (14)

• Frame-like gauge invariant formulation for massive high spin particles
• 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
• Shadows, currents and AdS fields
• Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation
• Detours and Paths: BRST Complexes and Worldline Formalism
• Frame-like gauge invariant formulation for mixed symmetry fermionic fields
• CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• U(N) spinning particles and higher spin equations on complex manifolds
• Lagrangian higher spin field theories from the O(N) extended supersymmetric particle
• Mechanical Models for Higher Spin Gauge Fields
• From isospin generators to BRST quantization of higher spin massless fields