DOAJ Open Access 2020

Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds

G. Papadopoulos

Abstrak

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.

Topik & Kata Kunci

Nuclear and particle physics. Atomic energy. Radioactivity

Penulis (1)

G. Papadopoulos

Format Sitasi

APA MLA BibTeX

Papadopoulos, G. (2020). Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds. https://doi.org/10.1007/JHEP07(2020)025

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Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.1007/JHEP07(2020)025
Akses: Open Access ✓