Dual Anti-de Sitter Superalgebras from Partial Supersymmetry Breaking
The partial breaking of supersymmetry in anti\char21{}de Sitter space can be accomplished using two of four dual representations for the massive $\mathrm{OSp}(1,4)$ spin-3/2 multiplet. The procedure gives rise to a set of dual $N=2$ supergravities and supersymmetry algebras.
Nonlinear realization of partially broken N=2 AdS supersymmetry in two and three dimensions
Abstract We investigate the nonlinear realization of partially broken N =2 global supersymmetry in the D =2 and 3 anti-de-Sitter (AdS) space. We particularly study Nambu–Goldstone degrees of freedom for the N =2 AdS supersymmetry partially broken down to N =1 AdS supersymmetry, where we observe a NG fermion of the broken supersymmetry and a NG boson of the internal symmetry which form a NG multiplet. Based on the nonlinear realization method, we construct a superspace formalism for 2- and 3-dimensional AdS space and evaluate the covariant derivatives and supervielbeins for the AdS superspace. Finally, we obtain the nonlinear transformation laws and the lowest order of effective Lagrangians.
Minimal Higgs branch for the breaking of half of the supersymmetries in N = 2 supergravity
Abstract It is shown that the minimal Higgs sector of a generic N = 2 supergravity theory with unbroken N = 1 supersymmetry must contain a Higgs hypermultiplet and a vector multiplet. When the multiplets parametrize the quaternionic manifold SO(4,1) SO(4) , and the special Kahler manifold SU(1,1) U(1) , respectively, a vanishing vacuum energy with a sliding massive spin 3 2 multiplet is obtained. Potential applications to N = 2 low energy effective actions of superstrings are briefly discussed.