de Sitter Supersymmetry Revisited

Abstract

We present the basic $\mathcal{N}=1$ superconformal field theories in four-dimensional de Sitter space-time, namely the non-abelian super Yang-Mills theory and the chiral multiplet theory with gauge interactions or cubic superpotential. These theories have eight supercharges and are invariant under the full $SO(4,2)$ group of conformal symmetries, which includes the de Sitter isometry group $SO(4,1)$ as a subgroup. The theories are ghost-free and the anti-commutator ${\sum }_{\alpha }\{Q_{\alpha },Q^{\alpha †}\}$ is positive. SUSY Ward identities uniquely select the Bunch-Davies vacuum state. This vacuum state is invariant under superconformal transformations, despite the fact that de Sitter space has non-zero Hawking temperature. The $\mathcal{N}=1$ theories are classically invariant under the $SU(2,2|1)$ superconformal group, but this symmetry is broken by radiative corrections. However, no such difficulty is expected in the $\mathcal{N}=4$ theory, which is presented in appendix B.

arXiv comment21 pages, 2 figures

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Cited by in corpus (23)

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• Keeping matter in the loop in dS${}_3$ quantum gravity
• Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• An invitation to the principal series
• Supersymmetric dS/CFT
• Superconformal quantum field theory in curved spacetime
• AdS/dS CFT Correspondence
• The Thermal Bath of de Sitter from Holography
• dS${}_2$ Supergravity
• Supersymmetric D3/D7 for holographic flavors on curved space
• De Sitter-invariant States from Holography
• Construction of the de Sitter supergravity
• $\mathcal{N}=2$ Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• New conformal-like symmetry of strictly massless fermions in four-dimensional de Sitter space
• Spinors in Supersymmetric dS/CFT
• Deriving the Gibbons-Maldacena-Nunez no-go theorem from the Raychaudhuri equation
• Unconventional conformal invariance of maximal depth partially massless fields on $d{S}_4$ and its relation to complex partially massless SUSY
• On supersymmetric Anti-de-Sitter, de-Sitter and Minkowski flux backgrounds
• Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$
• Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions