Twistor spinors and extended conformal superalgebras
arXiv:1605.03361 · doi:10.1016/j.geomphys.2020.103654
Abstract
We show that the first-order symmetry operators of twistor spinors can be constructed from conformal Killing-Yano forms in conformally-flat backgrounds. We express the conditions on conformal Killing-Yano forms to obtain mutually commuting symmetry operators of twistor spinors. Conformal superalgebras which consist of conformal Killing vectors and twistor spinors and play important roles in supersymmetric field theories in conformal backgrounds are extended to more general superalgebras by using the graded Lie algebra structure of conformal Killing-Yano forms and the symmetry operators of twistor spinors. The even part of the extended conformal superalgebra corresponds to conformal Killing-Yano forms and the odd part consists of twistor spinors.
16 pages, published version
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Cited by in corpus (8)
- Spin raising and lowering operators for Rarita-Schwinger fields
- Gauged twistor spinors and symmetry operators
- Generalized symmetry superalgebras
- Extended superalgebras from twistor and Killing spinors
- Harmonic spinors from twistors and potential forms
- Spin Geometry and Some Applications
- Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion
- Bilinear forms of Kählerian twistor spinors