BRST Theory for Continuous Spin
arXiv:1303.3799 · doi:10.1007/JHEP10(2013)108
Abstract
Some puzzling aspects of higher spin field theory in Minkowski space-time, such as the tracelessness constraints and the search for an underlying physical principle, are discussed. A connecting idea might be provided by the recently much researched continuous spin representations of the Poincaré group. The Wigner equations, treated as first class constraints, yields to a four-constraint BRST formulation. The resulting field theory, generalizing free higher spin field theory, is one among a set of higher spin theories that can be related to previous work on unconstrained formulations. In particular, it is conjectured that the unconstrained higher spin theory of Francia and Sagnotti is a limit of a continuous spin theory. Furthermore, a simple analysis of the constraint structure reveals a hint of a physical rationale behind the trace constraints.
19 pages, consistent with published version
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- Model of massless relativistic particle with continuous spin and its twistorial description
- Supersymmetric Continuous Spin Gauge Theory
- Remarks on a Gauge Theory for Continuous Spin Particles
- A Riccati type PDE for light-front higher helicity vertices
- Cubic interactions of arbitrary spin fields in 3d flat space
- Off-shell Supersymmetric Continuous Spin Gauge Theory
- 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