Abstract
We investigate supersymmetry (SUSY) breaking scenarios where both SUSY and Lorentz symmetry are broken spontaneously. For concreteness, we propose models in which scalar fluid or vector condensation breaks Lorentz symmetry and accordingly SUSY. Then, we examine whether such scenarios are viable for realistic model buildings. We find, however, that the scalar fluid model suffers from several issues. Then, we extend it to a vector condensation model, which avoids the issues in the scalar fluid case. We show that accelerated expansion and soft SUSY breaking in matter sector can be achieved. In our simple setup, the soft SUSY breaking is constrained to be less than mathcal{O}(100)mathrm{TeV} from the constraints on modification of gravity.
Highlights
JHEP08(2021)048 vector condensation rather than non-vanishing F-terms or D-terms
We find that SUSY breaking scale, which is related to time translation violation scale, is constrained by tests of general relativity rather than collider experiments
We have proposed a new class of SUSY breaking models, in which both Lorentz symmetry and SUSY are spontaneously broken
Summary
Let us briefly review F-term SUSY breaking scenarios. First, we discuss a general aspect of SUSY breaking. In order to achieve (1) SUSY breaking, (2) accelerated expansion of the Universe, and (3) non-vanishing gravitino mass, we need the situation where F I KIJFJ − 3|m3/2|2Mp2l ∼ Λ4 ∼ O(10−120Mp4l), and |m3/2|2 = 0 where Λ denotes the cosmological constant This requirement implies F I = 0 for some chiral superfield ΦI and W = 0. |S|2|Q|2 reads to the soft mass term for a scalar field Q as m2Q = | F S |2/M 2 ∼ 3|m3/2|2(Mp2l/M 2), where S is the SUSY breaking multiplet with F S = 0 and Mdenotes some mass scale suppressing the higher-order term. This is often referred as gravity mediation especially for M ∼ Mpl.. The models we propose are very different in this respect, since we consider spontaneous breaking of spacetime symmetry other than SUSY
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