Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds
High Energy Physics - Theory
2020-08-26 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We show that the Killing spinor equations of all supergravity theories which may include higher order corrections on a (r,s)-signature spacetime are associated with twisted covariant form hierarchies. These hierarchies are characterized by a connection on the space of forms which may not be degree preserving. As a consequence we demonstrate that the form Killing spinor bi-linears of all supersymmetric backgrounds satisfy a suitable generalization of conformal Killing-Yano equation with respect to this connection. To illustrate the general proof the twisted covariant form hierarchies of some supergravity theories in 4, 5, 6, 10 and 11 dimensions are also presented.
Keywords
Cite
@article{arxiv.2001.07423,
title = {Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds},
author = {G. Papadopoulos},
journal= {arXiv preprint arXiv:2001.07423},
year = {2020}
}
Comments
15 pages, minor corrections, a reference added