TY - JOUR

T1 - Vanishing potentials in gauged N=2 supergravity

T2 - An application of Jordan algebras

AU - Günaydin, M.

AU - Sierra, G.

AU - Townsend, P. K.

N1 - 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.

PY - 1984/8/23

Y1 - 1984/8/23

N2 - 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.

AB - 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.

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U2 - 10.1016/0370-2693(84)90172-2

DO - 10.1016/0370-2693(84)90172-2

M3 - Article

AN - SCOPUS:0001868969

VL - 144

SP - 41

EP - 45

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -