Gauge invariant Lagrangian construction for massive higher spin fermionic fields
arXiv:hep-th/0603212 · doi:10.1016/j.physletb.2006.08.060
Abstract
We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincare group with given spin as the operator constraints in auxiliary Fock space, we built the BRST charge for the model under consideration and find the gauge invariant equations of motion in terms of vectors and operators in the Fock space. It is shown that like in massless case hep-th/0410215, the massive fermionic higher spin field models are the reducible gauge theories and the order of reducibility grows with the value of spin. In compare with all previous approaches, no off-shell constraints on the fields and the gauge parameters are imposed from the very beginning, all correct constraints emerge automatically as the consequences of the equations of motion. As an example, we derive a gauge invariant Lagrangian for massive spin 3/2 field.
12 pages
References in corpus (41)
- Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
- Partial Masslessness of Higher Spins in (A)dS
- Gauge Invariances and Phases of Massive Higher Spins in (A)dS
- On higher spins and the tensionless limit of String Theory
- Higher Spin Gauge Theories in Various Dimensions
- Null Propagation of Partially Massless Higher Spins in (A)dS and Cosmological Constant Speculations
- Free geometric equations for higher spins
- How massless are massless fields in
- On the geometry of higher-spin gauge fields
- Lagrangian formulation of the massless higher integer spin fields in the AdS background
- On the Tensionless Limit of Bosonic Strings, Infinite Symmetries and Higher Spins
- Equations of Motion for Massive Spin 2 Field Coupled to Gravity
- 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)
- BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
- Light-cone form of field dynamics in anti-de Sitter space-time and AdS/CFT correspondence
- Parent field theory and unfolding in BRST first-quantized terms
- On the mixed symmetry irreducible representations of the Poincare group in the BRST approach
- N=1 Supersymmetric Theory of Higher Spin Gauge Fields in AdS(5) at the Cubic Level
- Analysis of Higher Spin Field Equations in Four Dimensions
- Description of the higher massless irreducible integer spins in the BRST approach
- Minimal Local Lagrangians for Higher-Spin Geometry
- Massive totally symmetric fields in AdS(d)
- BRST approach to Lagrangian construction for fermionic massless higher spin fields
- Causality of Massive Spin 2 Field in External Gravity
- On Higher Spin Theory: Strings, BRST, Dimensional Reductions
- Dynamics of Higher Spin Fields and Tensorial Space
- New 4D, N = 1 Superfield Theory: Model of Free Massive Superspin-3/2 Multiplet
- Higher Spins from Tensorial Charges and OSp(N|2n) Symmetry
- Fermionic fields in the d-dimensional anti-de Sitter spacetime
- Spin three gauge theory revisited
- Massless arbitrary spin fields in AdS(5)
- More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
- Mixed-symmetry massive fields in AdS(5)
- On Consistent Equations for Massive Spin-2 Field Coupled to Gravity in String Theory
- Dynamical Superfield Theory of Free Massive Superspin-1 Multiplet
- Massive 4D, N = 1 Superspin 1 & 3/2 Multiplets and Dualities
- Free totally (anti)symmetric massless fermionic fields in d-dimensional anti-de Sitter space
- BRST approach to higher spin field theories
- Scalar Field Corrections to AdS_4 Gravity from Higher Spin Gauge Theory
- On the fermionic Grande Bouffe: more on higher spin symmetry breaking in AdS/CFT
Cited by in corpus (52)
- Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
- Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
- On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
- 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
- Frame-like gauge invariant formulation for massive high spin particles
- Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
- Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
- Quartet unconstrained formulation for massless higher spin fields
- On the cubic interactions of massive and partially-massless higher spins in (A)dS
- Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
- Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
- Geometric Lagrangians for massive higher-spin fields
- On massive spin 2 electromagnetic interactions
- Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
- Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields
- A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields
- General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
- BRST approach to Lagrangian construction for bosonic continuous spin field
- Quartet unconstrained formulation for massive higher spin fields
- Towards frame-like gauge invariant formulation for massive mixed symmetry bosonic fields. II. General Young tableau with two rows
- General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
- Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space
- BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
- Cubic interaction vertex of higher-spin fields with external electromagnetic field
- Frame-like gauge invariant formulation for mixed symmetry fermionic fields
- Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
- Lagrangian formulation of the massive higher spin N=1 supermultiplets in space
- Current Exchanges for Reducible Higher Spin Multiplets and Gauge Fixing
- Frame-like gauge invariant Lagrangian formulation of massive fermionic higher spin fields in AdS_3 space
- Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models
- Ghost and Tachyon Free Propagation up to spin-3 in Lorentz Invariant Field Theories
- Towards Lagrangian construction for infinite half-integer spin field
- BRST approach to Lagrangian formulation of bosonic totally antisymmeric tensor fields in curved space
- On Dimensional Degression in AdS(d)
- 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
- On manifolds admitting the consistent Lagrangian formulation for higher spin fields
- Note on antisymmetric spin-tensors
- BRST Lagrangian construction for spin-2 field in Einstein space
- Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field
- BRST Analysis of the Supersymmetric Higher Spin Field Models
- BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
- Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
- Progress in Gauge Invariant Lagrangian Construction for Massive Higher Spin Fields
- BRST Lagrangian construction for spin-3/2 field in Einstein space
- On equivalence of gauge-invariant models for massive integer-spin fields
- Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension
- Programming Realization of Symbolic Computations for Non-linear Commutator Superalgebras over the Heisenberg--Weyl Superalgebra: Data Structures and Processing Methods
- Higher-Spin Gauge Models in the BRST-antifield Formalism
- On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
- Lagrangian BRST formulation of massive higher spin fields of generic symmetry type