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

Abstract

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.

24 pages

References in corpus (1)

• Nonlinear Supersymmetry, Brane-bulk Interactions and Super-Higgs without Gravity

Cited by in corpus (7)

• Rigid limit for hypermultiplets and five-dimensional gauge theories
• Simple metastable de Sitter vacua in N=2 gauged supergravity
• All partial breakings in $\mathcal{N}=2$ supergravity with a single hypermultiplet
• Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Isometries, gaugings and N=2 supergravity decoupling
• Metastable spontaneous breaking of N=2 supersymmetry