N=1 de Sitter Supersymmetry Algebra

Abstract

Recalling the universal covering group of de Sitter, the transformation properties of the spinor fields $\psi (x)$ and $\bar{\psi }(x)$, in the ambient space notation, are presented in this paper. The charge conjugation symmetry of the de Sitter spinor field is then discussed in the above notation. Using this spinor field and charge conjugation, de Sitter supersymmetry algebra in the ambient space notation has been established. It is shown that a novel dS-superalgebra can be attained by the use of spinor field and charge conjugation in the ambient space notation.

8 pages, LaTeX, some details added

References in corpus (4)

• Massive Spin-2 Field in De Sitter Space
• Tree-level Scattering Amplitude in de Sitter Space
• Discrete Symmetries for Spinor Field in de Sitter Space
• Abelian Gauge Theory in de Sitter Space

Cited by in corpus (8)

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• de Sitter Supersymmetry Revisited
• Quantum Field Theory in de Sitter Universe: Ambient Space Formalism
• Entropy of Quantum Fields in de Sitter Space-time
• Super-gauge Field in de Sitter Universe
• Conceptual and technical challenges of quantum gravity
• N=2 de Sitter Supersymmetry Algebra
• Krein Space Quantization and a Spectral Interpretation of the Riemann $\xi$-Function