Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-09-30
Nucl.Phys.B568:475-502,2000
Physics
High Energy Physics
High Energy Physics - Theory
30 pages
Scientific paper
10.1016/S0550-3213(99)00726-9
We present theories of N=2 hypermultiplets in four spacetime dimensions that are invariant under rigid or local superconformal symmetries. The target spaces of theories with rigid superconformal invariance are (4n)-dimensional {\it special} hyper-K\"ahler manifolds. Such manifolds can be described as cones over tri-Sasakian metrics and are locally the product of a flat four-dimensional space and a quaternionic manifold. The latter manifolds appear in the coupling of hypermultiplets to N=2 supergravity. We employ local sections of an Sp$(n)\times{\rm Sp}(1)$ bundle in the formulation of the Lagrangian and transformation rules, thus allowing for arbitrary coordinatizations of the hyper-K\"ahler and quaternionic manifolds.
Kleijn Bas
Vandoren Stefan
Wit Bernard de
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