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Superconformal hypermultiplets

By Bernard de Wit, B. Kleijn and S. Vandoren


We present theories of N = 2 hypermultiplets in four spacetime dimensions\ud that are invariant under rigid or local superconformal symmetries.\ud The target spaces of theories with rigid superconformal invariance\ud are (4n)-dimensional special hyper-K¨ahler manifolds. Such\ud manifolds can be described as cones over tri-Sasakian metrics and\ud are locally the product of a flat four-dimensional space and a quaternionic\ud manifold. The latter manifolds appear in the coupling of hypermultiplets\ud to N = 2 supergravity. We employ local sections of\ud an Sp(n) × Sp(1) bundle in the formulation of the Lagrangian and\ud transformation rules, thus allowing for arbitrary coordinatizations of\ud the hyper-K¨ahler and quaternionic manifolds

Topics: Natuur- en Sterrenkunde
Publisher: Elsevier
Year: 1999
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