Gauged twistor spinors and symmetry operators
arXiv:1610.02510 · doi:10.1063/1.4978332
Abstract
We consider gauged twistor spinors which are supersymmetry generators of supersymmetric and superconformal field theories in curved backgrounds. We show that the spinor bilinears of gauged twistor spinors satify the gauged conformal Killing-Yano equation. We prove that the symmetry operators of the gauged twistor spinor equation can be constructed from ordinary conformal Killing-Yano forms in constant curvature backgrounds. This provides a way to obtain gauged twistor spinors from ordinary twistor spinors.
arXiv comment12 pages, published version
References in corpus (19)
- Rigid Supersymmetric Theories in Curved Superspace
- Supersymmetry on Curved Spaces and Holography
- Hidden Symmetries of Dynamics in Classical and Quantum Physics
- Dirac symmetry operators from conformal Killing-Yano tensors
- Supersymmetry in Lorentzian Curved Spaces and Holography
- Supersymmetry on curved spaces and superconformal anomalies
- Supersymmetry on Three-dimensional Lorentzian Curved Spaces and Black Hole Holography
- Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets
- Polyvector Super-Poincare Algebras
- Symmetries of the Dirac operator with skew-symmetric torsion
- Hidden symmetry in the presence of fluxes
- First-order symmetries of Dirac equation in curved background: a unified dynamical symmetry condition
- The return of the four- and five-dimensional preons
- Higher-degree Dirac Currents of Twistor and Killing Spinors in Supergravity Theories
- Lie algebra of conformal Killing-Yano forms
- Twistor spinors and extended conformal superalgebras
- Symmetry operators of Killing spinors and superalgebras in AdS_5
- Charged Conformal Killing Spinors
- Twistors from Killing Spinors alias Radiation from Pair Annihilation I: Theoretical Considerations
Cited by in corpus (6)
- Twistor spinors and extended conformal superalgebras
- Spin raising and lowering operators for Rarita-Schwinger fields
- Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime
- Generalized symmetry superalgebras
- Harmonic spinors from twistors and potential forms
- Symmetries of modified Dirac operators in supergravity flux backgrounds