Showing papers by "Ulf Lindström published in 1987"
TL;DR: In this paper, two constructions of hyperkahler manifolds, one based on a Legendre transform and one on a sympletic quotient, are described, which can be described geometrically.
Abstract: We describe two constructions of hyperkahler manifolds, one based on a Legendre transform, and one on a sympletic quotient. These constructions arose in the context of supersymmetric nonlinear σ-models, but can be described entirely geometrically. In this general setting, we attempt to clarify the relation between supersymmetry and aspects of modern differential geometry, along the way reviewing many basic and well known ideas in the hope of making them accessible to a new audience.
1,227 citations
TL;DR: In this paper, the duality between topologically massive and self-dual nonabelian vector fields in 3D space was studied and the inverse construction was performed for a restricted class of modified selfdual actions.
43 citations
TL;DR: In this paper, a new Weyl-invariant string with a rigidity term was presented, and the critical dimension was computed to be D = 14, using a particular background.
28 citations
TL;DR: The supersymmetric generalisation of the duality between topologically massive and self-dual vector fields in three dimensions was studied in this paper, where it was shown that the topological massive theory with two interacting sets of gauge vectors admits couplings to matter.
Abstract: The authors give the supersymmetric generalisation of the duality between topologically massive and self-dual vector fields in three dimensions. In particular, this shows that the topologically massive theory with two interacting sets of gauge vectors admits couplings to matter.
21 citations
TL;DR: In this paper, it was shown that one cannot match the bosonic part of the superstring effective action of Tseytlin unless supersymmetry is spontaneously broken, and the conditions for a N = 1, D = 4 supersymmetric nonlinear Maxwell theory which guarantee that the field equation of the auxiliary field is algebraic.
10 citations
TL;DR: In this article, it was shown that N = 4 models with local product structure in the target space are ultraviolet finite to all orders in perturbation theory, and the relevance of their results to N = 2 models is discussed.
6 citations