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.
Gapped gravitinos, isospin $\frac{\mathbf{1}}{2}$ particles, and $\mathcal{N}=2$ partial breaking
Using results on topological band theory of phases of matter and discrete symmetries, we study topological properties of band structure of physical systems involving spin $\frac{1}{2}$ and $\frac{3}{2}$ fermions. We apply this approach to study partial breaking in 4D $\mathcal{N}=2$ gauged supergravity in rigid limit and we describe the fermionic gapless mode in terms of chiral anomaly. We study as well the homologue of the usual spin-orbit coupling $\vec{L}.\vec{S}$, that opens the vanishing band gap for free $s=\frac{1}{2}$ fermions; and show that is precisely given by the central extension of the $\mathcal{N}=2$ supercurrent algebra in 4D spacetime. We also give comments on the rigid limit of Andrianopoli et al obtained in [28] and propose an interpretation of energy bands in terms of a chiral gapless isospin $\frac{1}{2}$-particle (iso-particle). Other features, such as discrete T- symmetry in FI coupling space, effect of quantum fluctuations and the link with Nielson-Ninomiya theorem, are also studied.
Noether coupling of massive gravitinos toN = 1 supergravity
Abstract A new method is presented to determine which supergravity models can have a superHiggs effect with at least one surviving local supersymmetry. The basic ingredient is the coupling of the massive spin-3/2 multiplet to supergravity.