Abstract
We study partial supersymmetry breaking from mathcal{N} = 2 to mathcal{N} = 1 by adding non-linear terms to the mathcal{N} = 2 supersymmetry transformations. By exploiting the necessary existence of a deformed supersymmetry algebra for partial breaking to occur, we systematically use mathcal{N} = 2 projective superspace with central charges to provide a streamlined setup. For deformed mathcal{O} (2) and mathcal{O} (4) hypermultiplets, besides reproducing known results, we describe new models exhibiting partial supersymmetry breaking with and without higher-derivative interactions.
Highlights
By decoupling heavy N = 1 supermultiplets
We study partial supersymmetry breaking from N = 2 to N = 1 by adding non-linear terms to the N = 2 supersymmetry transformations
Partial supersymmetry breaking is motivated from phenomenology as it can allow for a breaking of the extended supersymmetries in some high-energy scale while allowing a single N = 1 supersymmetry in the low energy, see e.g., [18]
Summary
We will show that in the new model the goldstino transforms to a complex scalar field belonging to an N = 1 chiral multiplet under the unbroken supersymmetry. Δǫtαα i 2 ǫ(α∂βαλβ) c.c. From (2.21) we see that, assuming that in the vacuum F = 0, the theory contains the goldstino fermion in the deformed N = 1 real linear superfield, and it transforms under the broken ǫ-supersymmetry to the real scalar l and the (Hodge-dual of the) two-form. Because the higher-order terms will be introduced with a suppression scale Λ From this point of view, and according to our analysis of the deformed supersymmetry algebra, the action (2.13) is the only self-interacting, two-derivative QFT model for partial supersymmetry breaking based on deformed tensor multiplets. Higher-derivative interactions can be systematically constructed introducing a wealth of new interacting models with partial supersymmetry breaking
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