Hypermultiplets, hyperkahler cones and quaternion-Kahler geometry | Zendy

Bernard de Wit | Zendy; M. Roček | Zendy; Stefan Vandoren | Zendy

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Hypermultiplets, hyperkahler cones and quaternion-Kahler geometry

Author(s) -

Bernard de Wit,

M. Roček,

Stefan Vandoren

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/02/039

Subject(s) - quaternion , moduli space , instanton , manifold (fluid mechanics) , hyperkähler manifold , mathematics , multiplet , pure mathematics , tensor (intrinsic definition) , abelian group , geometry , mathematical analysis , mathematical physics , ricci flat manifold , physics , quantum mechanics , mechanical engineering , scalar curvature , curvature , engineering , spectral line

We study hyperkahler cones and their corresponding quaternion-Kahler spaces.We present a classification of 4(n-1)-dimensional quaternion-Kahler spaces withn abelian quaternionic isometries, based on dualizing superconformal tensormultiplets. These manifolds characterize the geometry of the hypermultipletsector of perturbative moduli spaces of type-II strings compactified on aCalabi-Yau manifold. As an example of our construction, we study the universalhypermultiplet in detail, and give three inequivalent tensor multipletdescriptions. We also comment on the construction of quaternion-Kahlermanifolds that may describe instanton corrections to the moduli space.Comment: 52 pages, no figures, typos corrected, some references adde

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