BRST-BV approach to conformal fields

Abstract

Using the BRST--BV approach, we consider totally symmetric arbitrary integer spin conformal fields propagating in flat space. For such fields, we obtain the ordinary-derivative BRST--BV Lagrangian that is invariant under gauge transformations. In our approach, the ordinary-derivative Lagrangian and gauge transformations are constructed in terms of the respective traceless gauge fields and traceless gauge transformation parameters. We also obtain a realization of conformal algebra symmetries on the space of fields and antifields entering the BRST--BV formulation of conformal fields.

v2: 20 pages, typos corrected, new comments in Sec.3 below Eq.(3.33) and references added

References in corpus (16)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• Shadows, currents and AdS fields
• Partially-massless higher-spin algebras and their finite-dimensional truncations
• Arbitrary spin conformal fields in (A)dS
• CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge
• BRST invariant effective action of shadow fields, conformal fields, and AdS/CFT
• Mixed-symmetry fields in AdS(5), conformal fields, and AdS/CFT
• Lagrangian conformal higher spin theory
• Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields
• 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
• Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields
• BRST-BV approach to massless fields adapted to AdS/CFT correspondence
• Higher Spins at the Quintic Order: Localization Effect and Simplifications

Cited by in corpus (6)

• Off-shell massive N=1 supermultiplets in three dimensions
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• BRST-BV approach to continuous-spin field
• Geometrical structure of Weyl invariants for spin three gauge field in general gravitational background in $d=4$
• General light-cone gauge approach to conformal fields and applications to scalar and vector fields
• Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants