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.
ASJC Scopus subject areas
- Nuclear and High Energy Physics