Parent field theory and unfolding in BRST first-quantized terms

Abstract

For free-field theories associated with BRST first-quantized gauge systems, we identify generalized auxiliary fields and pure gauge variables already at the first-quantized level as the fields associated with algebraically contractible pairs for the BRST operator. Locality of the field theory is taken into account by separating the space--time degrees of freedom from the internal ones. A standard extension of the first-quantized system, originally developed to study quantization on curved manifolds, is used here for the construction of a first-order parent field theory that has a remarkable property: by elimination of generalized auxiliary fields, it can be reduced both to the field theory corresponding to the original system and to its unfolded formulation. As an application, we consider the free higher-spin gauge theories of Fronsdal.

LaTeX, amsart++, 40 pages, references added, final version to appear in Commun. Math. Phys

References in corpus (18)

• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Introduction to sh Lie algebras for physicists
• Local BRST cohomology in gauge theories
• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Local BRST cohomology in the antifield formalism: I. General theorems
• On higher spins and the tensionless limit of String Theory
• Higher Spin Gauge Theories in Various Dimensions
• Tensor Constructions of Open String Theories I: Foundations
• Conformal Higher Spin Symmetries of 4d Massless Supermultiplets and $osp(L,2M)$ Invariant Equations in Generalized (Super)Space
• On the Tensionless Limit of Bosonic Strings, Infinite Symmetries and Higher Spins
• Description of the higher massless irreducible integer spins in the BRST approach
• On Higher Spin Theory: Strings, BRST, Dimensional Reductions
• On the covariant quantization of tensionless bosonic strings in AdS spacetime
• Star Product for Second Class Constraint Systems from a BRST Theory
• Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories
• Fedosov Deformation Quantization as a BRST Theory
• An Abstract Interface to Higher Spin Gauge Field Theory

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• An action principle for Vasiliev's four-dimensional higher-spin gravity
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• Boundary values of mixed-symmetry massless fields in AdS space
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• One-loop quantum gravity from the N=4 spinning particle
• $Sp(8)$ invariant higher spin theory, twistors and geometric BRST formulation of unfolded field equations
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• Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra
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• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
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• Constrained BRST-BFV and BRST-BV Lagrangians for half-integer HS fields on $R^{1,d-1}$
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• Field Theory Equivalences as Spans of $L_{\infty }$-algebras
• Unfolded Formulation of 4d Yang-Mills Theory
• Gravity with torsion as deformed $BF$ theory
• On the variational principle in the unfolded dynamics
• Duality and integrability: Electromagnetism, linearized gravity and massless higher spin gauge fields as bi-Hamiltonian systems
• Covariant Lagrangian Cubic Interaction Vertices For Irreducible Higher Spin Fields in Minkowski Backgrounds
• The Quantum Darboux Theorem,
• Extremal Black Holes from Homotopy Algebras