A CSP Field Theory with Helicity Correspondence

Abstract

We propose the first covariant local action describing the propagation of a single free continuous-spin degree of freedom. The theory is simply formulated as a gauge theory in a "vector superspace", but can also be formulated in terms of a tower of symmetric tensor gauge fields. When the spin invariant $\rho$ vanishes, the helicity correspondence is manifest -- familiar gauge theory actions are recovered and couplings to conserved currents can easily be introduced. For non-zero $\rho$, a tower of tensor currents must be present, of which only the lowest rank is exactly conserved. A paucity of local gauge-invariant operators for non-zero $\rho$ suggests that the equations of motion in any interacting theory should be covariant, not invariant, under a generalization of the free theory's gauge symmetry.

45 pages

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• Gauge Theory Formulations for Continuous and Higher Spin Fields
• Continuous-spin field propagator and interaction with matter
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Modified Wigner equations and continuous spin gauge field
• BRST-BV approach to continuous-spin field
• Light-cone continuous-spin field in AdS space
• Lagrangian formulation for the infinite spin N=1 supermultiplets in d=4
• Twistorial and space-time descriptions of massless infinite spin (super)particles and fields
• Superfield continuous spin equations of motion
• Towards Lagrangian construction for infinite half-integer spin field
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• A local action for fermionic unconstrained higher spin gauge fields in (A)dS space
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
• Massless infinite spin (super)particles and fields
• Infinite spin fields in d = 3 and beyond
• The four-dimensional on-shell three-point amplitude in spinor-helicity formalism and BCFW recursion relations