de Sitter supersymmetry revisited
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Anous-2014-de Sitter supersymme.pdf
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Author(s)
Anous, Tarek
Freedman, Daniel Z.
Maloney, Alexander
Date Issued
July 2014
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Anous, Tarek, Daniel Z. Freedman, and Alexander Maloney. “De Sitter Supersymmetry Revisited.” J. High Energ. Phys. 2014, no. 7 (July 2014).
Version
Final published version
Abstract
We present the basic 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 ∑ [subscript α] {Q [subscript α] , Q [superscript α †]} 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 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 N = 4 theory, which is presented in appendix B.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP07(2014)119
