@article{172f11c9b5624400bf040b7ca97aa660,

title = "Vanishing potentials in gauged N=2 supergravity: An application of Jordan algebras",

abstract = "We construct a class of N=2 supergravity theories in five spacetime dimensions with a gauged U(1) (i.e. minimal coupling to the gravitini) but vanishing scalar field potential. Supersymmetry is spontaneously broken. The models of this class are classified by their association with irreducible indempotents of a Jordan algebra. Similar results for N=2 supergravity in d=4 follow by dimensional reduction.",

author = "M. G{\"u}naydin and G. Sierra and Townsend, {P. K.}",

note = "Funding Information: 1. Introduction. Extended supergravity theories are characterized by the presence of several gravitini transforming according to the fundamental representation of the automorphism group of the supersymmetry algebra, e.g. U(N) for N-extended theories in d = 4, and USp(2M) for N = 2M-extended theories in d ---5 (we call simple d = 5 supersymmetry N = 2 because of the USp(2) = SU(2) invariance). {"}Gauged{"} extended supergravity theories are those for which a subgroup of this symmetry is gauged. Examples are the d = 40(N) gauged extended supergravity theories, and a feature in common to all these examples is that the gauging induces either a cosmological constant or, in the presence of scalar fields, a scalar potential. In the former case the, supersymmetric, ground state is anti-de-Sitter space, and in the latter case there is generally a critical point for which the ground state is again a supersymmetric adS space. The full symmetry group of the ground state, in either case, is the d = 4 adS supergroup OSp(N/4), so that these theories are 1 Work supported in part by US Department of Energy under contract EEAC 03-81-ER40050 and by the Fleischmann Foundation.",

year = "1984",

month = aug,

day = "23",

doi = "10.1016/0370-2693(84)90172-2",

language = "English (US)",

volume = "144",

pages = "41--45",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier",

number = "1-2",

}