New Model of N=8 Superconformal Mechanics

Abstract : Using an N =4, d=1 superfield approach, we construct an N =8 supersymmetric action of the self-interacting off-shell N =8 multiplet (1, 8, 7). This action is found to be invariant under the exceptional N =8, d=1 superconformal group F (4) with the R-symmetry subgroup SO(7). The general N =8 supersymmetric (1,8, 7) action is a sum of the super- conformal action and the previously known free bilinear action. We show that the general action is also superconformal, but with respect to redefined superfield transformation laws. The scalar potential can be generated by two Fayet-Iliopoulos N =4 superfield terms which preserve N =8 supersymmetry but break the superconformal and S O(7) symmetries.
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Submitted on : Friday, July 13, 2007 - 2:22:07 PM
Last modification on : Thursday, April 19, 2018 - 2:54:03 PM
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François Delduc, Evgeny Ivanov. New Model of N=8 Superconformal Mechanics. 2007. ⟨ensl-00162431⟩

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