Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds

A bstract 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 b...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2020; no. 7; pp. 1 - 15
Main Author Papadopoulos, G.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2020
Springer Nature B.V
SpringerOpen
Subjects
Algebra
Classical and Quantum Gravitation
Differential and Algebraic Geometry
Elementary Particles
Geometry
Global Symmetries
Hierarchies
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Supergravity
Supergravity Models
Supersymmetry
Supergravity Models
Global Symmetries
Differential and Algebraic Geometry
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2020)025