A pr 2 00 4 New symmetry current for massive spin - 32 fields

X iv :h ep -p h/ 04 04 08 9 v2 23 A pr 2 00 4 New symmetry current for massive spin-32 fields Terry Pilling Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia and Institute of Theoretical and Experimental Physics, 117218 B. Cheremushkinskaya 25, Moscow, Russia (Dated: April 25, 2004) Abstract We present several new results which will be of value to theorists working with massive spin2 vector-spinor fields as found, for example, in low and intermediate energy hadron physics and also linearized supergravity. The most general lagrangian and propagator for a vector-spinor field in d-dimensions is given. It is shown that the observables of the theory are invariant under a novel continuous symmetry group which is also extended to an algebra. A new technique is developed for exploring the consequences of the symmetry and a previously unknown conserved vector current and charge are found. The current leads to new interactions involving spin-32 particles and may have important experimental consequences.