Generalized noscale models and classical symmetries of superstrings
Abstract
A generalization of noscale supergravity models is presented where scale transformations and axionlike classical symmetries of the superstrings in four dimensions are explicitly realized as dilations and translations of the scalar fields in the Kähler manifold. A sufficient condition is that the (dimension one) dilaton fields can be arranged in matrices of a Jordan algebra. This determines four possible classes of irreducible manifolds which are symmetric spaces. An arbitrary number of matter (dimension onehalf) fields can be included in the Kähler potential in such a way as to preserve the algebra of isometries. Among other Einstein manifolds, one obtains all Kähler symmetric spaces. This inclusion defines a generalization of flat potential models with zero cosmological constant and scalarfermion degeneracy except for massive fermions along the flat directions of the scalar potential. For two classes of manifolds and a trilinear superpotential, a SU (1, 1)×U(1) subgroup can be promoted to an exact symmetry of the effective lagrangian.
 Publication:

Physics Letters B
 Pub Date:
 August 1987
 DOI:
 10.1016/03702693(87)905326
 Bibcode:
 1987PhLB..194..226L