BRST-BV approach to continuous-spin field

Abstract

Using BRST-BV approach, massless and massive continuous-spin fields propagating in the flat space are studied. For such fields, BRST-BV gauge invariant Lagrangian is obtained. The Lagrangian and gauge transformations are constructed out of traceless gauge fields and traceless gauge transformation parameters. Interrelation between the BRST-BV Lagrangian and the Lagrangian for the continuous-spin fields in metric-like approach is demonstrated. Considering the BRST-BV Lagrangian in the Siegel gauge, we get gauge-fixed Lagrangian which is invariant under global BRST and antiBRST transformations.

11 pages, v2: Typos in text corrected. References added

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• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
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• Interactions of Particles with "Continuous Spin" Fields
• Supersymmetric Continuous Spin Gauge Theory
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• Cubic interactions of arbitrary spin fields in 3d flat space
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory
• BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on $R^{1,d-1}$
• Thermodynamics of Continuous Spin photons
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension
• Generalization of the Bargmann-Wigner construction for infinite spin fields
• Massless infinite spin (super)particles and fields
• Twistor formulation of massless $6D$ infinite spin fields