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de Sitter supersymmetry revisited

Author(s)
Anous, Tarek; Freedman, Daniel Z.; Maloney, Alexander
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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.
Date issued
2014-07
URI
http://hdl.handle.net/1721.1/94598
Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
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
ISSN
1029-8479
1126-6708

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