The graded differential geometry of mixed symmetry tensors

Andrew James Bruce; Eduardo Ibarguengoytia

Archivum Mathematicum (2019)

  • Volume: 055, Issue: 2, page 123-137
  • ISSN: 0044-8753

Abstract

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We show how the theory of ℤ 2 n -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.

How to cite

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Bruce, Andrew James, and Ibarguengoytia, Eduardo. "The graded differential geometry of mixed symmetry tensors." Archivum Mathematicum 055.2 (2019): 123-137. <http://eudml.org/doc/294773>.

@article{Bruce2019,
abstract = {We show how the theory of $\mathbb \{Z\}_2^n$-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.},
author = {Bruce, Andrew James, Ibarguengoytia, Eduardo},
journal = {Archivum Mathematicum},
keywords = {$\mathbb \{Z\}_2^n$-manifolds; mixed symmetry tensors; dual gravitons},
language = {eng},
number = {2},
pages = {123-137},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The graded differential geometry of mixed symmetry tensors},
url = {http://eudml.org/doc/294773},
volume = {055},
year = {2019},
}

TY - JOUR
AU - Bruce, Andrew James
AU - Ibarguengoytia, Eduardo
TI - The graded differential geometry of mixed symmetry tensors
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 2
SP - 123
EP - 137
AB - We show how the theory of $\mathbb {Z}_2^n$-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.
LA - eng
KW - $\mathbb {Z}_2^n$-manifolds; mixed symmetry tensors; dual gravitons
UR - http://eudml.org/doc/294773
ER -

References

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