Abstract
New interacting theories of totally antisymmetric and mixed-symmetric rank 3 tensor fields are constructed. The models describe massive spin-0 and spin-2 quanta, respectively, and exhibit singular massless limits characterized by a complete loss of all physical degrees of freedom. The models are “dual” to scalar and tensor “gravity-like” theories, in much the same sense as Kalb-Ramond theories are dual to gauge theories, and correspondingly they may help elucidate “magnetic” aspects of gravity. The source currents for the new spin-0 and spin-2 fields involve manifestly chargeless “curls” of the energy-momentum tensor. This unusual source structure is generalizable to higher spins, at least to lowest order, and significantly raises the possibility of finding consistent interacting higher spin field theories.
