Acta Physica Polonica B

Vol. 37, No. 2, February 2006, page 455


The ``Square Root'' of the Dirac Equation and Solutions on Superspace

J. Szwed

The ``square root'' of the Dirac operator derived on the superspace is used to construct supersymmetric field equations. In addition to the recently found solution --- a vector supermultiplet --- it is demonstrated how another supermultiplet follows as solution: a set of spin 3/2 and spin 1 component fields obeying the appropriate equations of motion together with an auxiliary, spin 2 tensor field.

PACS numbers: 11.30.Pb, 03.65.--w



 
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