The Graded Differential Geometry of Mixed Symmetry Tensors
Mathematical Physics
2019-06-26 v4 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Differential Geometry
math.MP
Abstract
We show how the theory of -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor fields on both flat and curved space-times are discussed.
Keywords
Cite
@article{arxiv.1806.04048,
title = {The Graded Differential Geometry of Mixed Symmetry Tensors},
author = {Andrew James Bruce and Eduardo Ibarguengoytia},
journal= {arXiv preprint arXiv:1806.04048},
year = {2019}
}
Comments
9 pages. Several changes as compared with earlier versions. In particular, we have added "supersymmetries" of mixed symmetry tensors and have included a section on mixed symmetry tensors with values in vector bundles