Consistent interactions of Curtright fields
Abstract
Consistent self-interactions of Curtright fields (Lorentz tensors with (2,1) Young diagram index symmetry) are constructed in dimensions 5 and 7. Most of them modify the gauge transformations of the free theory but the commutator algebra of the deformed gauge transformations remains Abelian in all cases. All of these interactions contain terms cubic in the Curtright fields with four or five derivatives, which are reminiscent of Yang-Mills, Chapline-Manton, Freedman-Townsend and Chern-Simons interactions, respectively.
Cite
@article{arxiv.2003.05413,
title = {Consistent interactions of Curtright fields},
author = {Friedemann Brandt},
journal= {arXiv preprint arXiv:2003.05413},
year = {2020}
}
Comments
17 pages, v2: added reference, comments and explanations (mostly in sections 5 and 6), typos corrected; v3: deformation in D=9 removed (was trivial), added references, comments and explanations (mostly in sections 4 and 6), typos corrected