A CSP Field Theory with Helicity Correspondence
Abstract
We propose the first covariant local action describing the propagation of a single free continuousspin 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 nonzero $\rho$, a tower of tensor currents must be present, of which only the lowest rank is exactly conserved. A paucity of local gaugeinvariant operators for nonzero $\rho$ 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.
 Publication:

arXiv eprints
 Pub Date:
 April 2014
 DOI:
 10.48550/arXiv.1404.0675
 arXiv:
 arXiv:1404.0675
 Bibcode:
 2014arXiv1404.0675S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 45 pages