Interpolation of partial and full supersymmetry breakings in N=2 supergravity

Abstract

We discuss an N = 2 supergravity model that interpolates the full and the partial supersymmetry breakings. In particular, we find the conditions for an N = 0 Minkowski vacuum, which is continuously connected to the partialbreaking (N = 1 preserving) one. The model contains multiple (Abelian) vector multiplets and a single hypermultiplet, and is constructed by employing the embedding tensor technique. We compute the mass spectrum on the Minkowski vacuum, and find some non-trivial mass relations among the massive fields. Our model allows us to choose the two supersymmetry-breaking scales independently, and to discuss the cascade supersymmetry breaking for the applications to particle phenomenology and cosmology. * the prepotential exists) leads to the breaking of the whole N = 2 supersymmetries, 1 and some fields acquire masses by (super) higgs mechanism. However, it generally leads to a degenerate mass spectrum due to a single supersymmetry-breaking scale. Therefore, it is impossible to realize the above mentioned N = 1 models within this framework. In order to incorporate such phenomenological models, the N = 2 supersymmetries need to be broken by two different breaking scales. Then, an approximate N = 1 supersymmetry appears between these scales. Furthermore, when they are hierarchical, the situation approaches to the partial breaking of the supersymmetries.The possibility of the partial breaking in N = 2 supergravity was found in Refs. [7][8][9], and there, it was shown that the partial breaking occurs by gauging a matter (hyper) sector in a specific frame where the prepotential does not exist. The systematic analysis for the partial breaking conditions based on the so-called embedding tensor [10,11] can be found in Ref. [12] (see also [13][14][15]). These models are studied in connection with the partial breaking in the global N = 2 models [16] by taking the rigid supersymmetry limit [8,[17][18][19]. Also, there are various discussions related to the D-brane effective actions, e.g., [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. The partial supersymmetry breaking in non-Abelian gauge theories are discussed in both of the global [36][37][38] and the local supersymmetry cases [39] (see also [40] for review).In this paper, we interpolate the full and the partial supersymmetry breaking to obtain the approximate partial breaking of N = 2 supersymmetries. 2 Then, the spectrum should be characterized by two independent breaking scales of the N = 2 supersymmetries. In Ref. [7], the model realizes the full or the partial supersymmetry breaking, and the parameter spaces for those vacua are continuously connected. For phenomenological applications, we need matter multiplets, in addition to the goldstino multiplets. Therefore, we generalize the model in such a way that it has multiple vector multiplets, more general prepotential, and larger class of the gauging of the isometries, including the model of Ref.[7] as a special case. Then, we investigate the conditions for the supersymmetry breakings at two ...

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