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Hidden symmetries and Lie algebra structures from geometric and supergravity Killing spinors

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Hidden symmetries and Lie algebra structures from geometric and supergravity Killing spinors. / Acik, Ozgur; Ertem, Umit.

In: Classical and Quantum Gravity, Vol. 33, No. 16, 165002, 14.07.2016.

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Acik, Ozgur ; Ertem, Umit. / Hidden symmetries and Lie algebra structures from geometric and supergravity Killing spinors. In: Classical and Quantum Gravity. 2016 ; Vol. 33, No. 16.

Bibtex

@article{b14ffeaecb194afc97e53e1613754714,
title = "Hidden symmetries and Lie algebra structures from geometric and supergravity Killing spinors",
abstract = "We consider geometric and supergravity Killing spinors and the spinor bilinears constructed out of them. The spinor bilinears of geometric Killing spinors correspond to the antisymmetric generalizations of Killing vector fields which are called Killing–Yano forms. They constitute a Lie superalgebra structure in constant curvature spacetimes. We show that the Dirac currents of geometric Killing spinors satisfy a Lie algebra structure up to a condition on 2-form spinor bilinears. We propose that the spinor bilinears of supergravity Killing spinors give way to different generalizations of Killing vector fields to higher degree forms. It is also shown that those supergravity Killing forms constitute a Lie algebra structure in six- and ten-dimensional cases. For five- and eleven-dimensional cases, the Lie algebra structure depends on an extra condition on supergravity Killing forms",
author = "Ozgur Acik and Umit Ertem",
year = "2016",
month = jul,
day = "14",
doi = "10.1088/0264-9381/33/16/165002",
language = "English",
volume = "33",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing",
number = "16",

}

RIS

TY - JOUR

T1 - Hidden symmetries and Lie algebra structures from geometric and supergravity Killing spinors

AU - Acik, Ozgur

AU - Ertem, Umit

PY - 2016/7/14

Y1 - 2016/7/14

N2 - We consider geometric and supergravity Killing spinors and the spinor bilinears constructed out of them. The spinor bilinears of geometric Killing spinors correspond to the antisymmetric generalizations of Killing vector fields which are called Killing–Yano forms. They constitute a Lie superalgebra structure in constant curvature spacetimes. We show that the Dirac currents of geometric Killing spinors satisfy a Lie algebra structure up to a condition on 2-form spinor bilinears. We propose that the spinor bilinears of supergravity Killing spinors give way to different generalizations of Killing vector fields to higher degree forms. It is also shown that those supergravity Killing forms constitute a Lie algebra structure in six- and ten-dimensional cases. For five- and eleven-dimensional cases, the Lie algebra structure depends on an extra condition on supergravity Killing forms

AB - We consider geometric and supergravity Killing spinors and the spinor bilinears constructed out of them. The spinor bilinears of geometric Killing spinors correspond to the antisymmetric generalizations of Killing vector fields which are called Killing–Yano forms. They constitute a Lie superalgebra structure in constant curvature spacetimes. We show that the Dirac currents of geometric Killing spinors satisfy a Lie algebra structure up to a condition on 2-form spinor bilinears. We propose that the spinor bilinears of supergravity Killing spinors give way to different generalizations of Killing vector fields to higher degree forms. It is also shown that those supergravity Killing forms constitute a Lie algebra structure in six- and ten-dimensional cases. For five- and eleven-dimensional cases, the Lie algebra structure depends on an extra condition on supergravity Killing forms

U2 - 10.1088/0264-9381/33/16/165002

DO - 10.1088/0264-9381/33/16/165002

M3 - Journal article

VL - 33

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 16

M1 - 165002

ER -