The Hypermultiplet with Heisenberg Isometry in N=2 Global and Local Supersymmetry

Details The Hypermultiplet with Heisenberg Isometry in N=2 Global and Local Supersymmetry The Hypermultiplet with Heisenberg Isometry in N=2 Global and Local Supersymmetry

2010-05-03

arxiv.org/abs/1005.0323v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

The string coupling of N=2 supersymmetric compactifications of type II string theory on a Calabi-Yau manifold belongs to the so-called universal dilaton hypermultiplet, that has four real scalars living on a quaternion-Kaehler manifold. Requiring Heisenberg symmetry, which is a maximal subgroup of perturbative isometries, reduces the possible manifolds to a one-parameter family that describes the tree-level effective action deformed by the only possible perturbative correction arising at one-loop level. A similar argument can be made at the level of global supersymmetry where the scalar manifold is hyper-Kaehler. In this work, the connection between global and local supersymmetry is explicitly constructed, providing a non-trivial gravity decoupled limit of type II strings already in perturbation theory.

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