Special geometry, cubic polynomials and homogeneous quaternionic spaces
type: Item
instance of: scholarly article
title: Special geometry, cubic polynomials and homogeneous quaternionic spaces
zbMATH Open document ID: 0824.53043
DOI: 10.1007/BF02097627
published in: Communications in Mathematical Physics
publication date: 1993-01-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/9112027
review text: The authors classify all homogeneous quaternionic Kähler spaces which can be obtained by supersymmetric dimensional reduction, thereby finding new examples of such spaces which are absent from the classification due to \textit{D. V. Alekseevskiĭ} [Math. USSR, Izv. 9(1975), 297--339 (1976); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 39, No. 2, 315--362 (1975; Zbl 0309.53045)]. They conjecture that the so augmented list of normal quaternionic Kähler manifolds is complete.
Mathematics Subject Classification ID: 53C26
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 83E50
zbMATH DE Number: 97861
zbMATH Keywords: homogeneous quaternionic Kähler spaces
zbMATH Keywords: special geometry
zbMATH Keywords: cubic polynomials
author: Bernard De Wit
author: Antoine van Proeyen
MaRDI profile type: Publication
arXiv ID: hep-th/9112027
cites work: Special geometry
cites work: Q3897665
cites work: CLASSIFICATION OF QUATERNIONIC SPACES WITH A TRANSITIVE SOLVABLE GROUP OF MOTIONS
cites work: Homogeneous Kähler manifolds and T-algebras in \(N=2\) supergravity and superstrings
cites work: Clifford modules
cites work: Real representations of finite Clifford algebras. I. Classification
cites work: More on d=5 Maxwell-Einstein supergravity: symmetric spaces and kinks
cites work: Classification of Kahler manifolds in N=2 vector multiplet-supergravity couplings
OpenAlex ID: W2095646514
description: scientific article