Parent Field Theory and Unfolding in BRST First-Quantized Terms

By G. Barnich, M. Grigoriev, A. Semikhatov, I. Tipunin. 2004

152 citations recorded by the source corpus.

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.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bc8472e1ce07ca1e861dd4b53f9f5d147a54934c

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Citations in the corpus

Elements of Vasiliev theory (2014, unknown): “We totally left aside issues related to alternative parent type formalisms, [51–53], developing side by side with the unfolded approach.”
Higher order singletons, partially massless fields and their boundary values in the ambient approach (2013, background): “According to [19] such a module is a gener aliz d Weyl module freely generated byX(2), P (2), X · P from some irreduciblesp(2)-module.”
L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism (2018, background): “We note that a related notion of equivalence was discussed in [82].”
An Introduction to free higher-spin fields (2004, background): “This can be seen either directly, as in [4, 5], or via the corresponding BRST operator, that is not hermitian, as pertains to a reduced system that is not described by a Lagrangian [27].”
Towards metric-like higher spin gauge theories in three dimensions (2012, background): “In spite of closely related goals, the frame- and metric-like formulations have evolved rather independently.”