Hypermultiplets, hyper-Kahler cones and quaternion-Kahler geometry

Citation
B. De Wit et al., Hypermultiplets, hyper-Kahler cones and quaternion-Kahler geometry, J HIGH EN P, 2001(2), 2001, pp. NIL_761-NIL_812
Citations number
58
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2001
Issue
2
Year of publication
2001
Pages
NIL_761 - NIL_812
Database
ISI
SICI code
1029-8479(200102)2001:2<NIL_761:HHCAQG>2.0.ZU;2-J
Abstract
We study hyper-Kahler cones and their corresponding quaternion-Kahler space s. We present a classification of 4(n - 1)-dimensional quaternion-Kahler sp aces with n abelian quaternionic isometries, based on dualizing superconfor mal tensor multiplets. These manifolds characterize the geometry of the hyp ermultiplet sector of perturbative moduli spaces of type-II strings compact ified on a Calabi-Yau manifold. As an example of our construction, we study the universal hypermultiplet in detail, and give three inequivalent tensor multiplet descriptions. We also comment on the construction of quaternion- Kahler manifolds that may describe instanton corrections to the moduli spac e.