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Quaternionic, quaternionic Kähler, and hyper-Kähler supermanifolds

✍ Scribed by Sergey A. Merkulov

Publisher
Springer
Year
1992
Tongue
English
Weight
429 KB
Volume
25
Category
Article
ISSN
0377-9017

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✦ Synopsis

Almost quaternionic, quaternionic, hyper-K/ihler, and quaternionic K/ihler supermanifolds are introduced and studied.

📜 SIMILAR VOLUMES

Quaternion Kähler flat manifolds
Quaternion Kähler flat manifolds
✍ Isabel G. Dotti; Roberto J. Miatello 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 155 KB

We give a general method to construct hyperkähler and quaternion Kähler flat manifolds with holonomy Z k 2 . We give many families of quaternion Kähler flat manifolds of dimension 8 which admit no Kähler structures.

Tensor supermultiplets and toric quatern
Tensor supermultiplets and toric quaternion-Kähler geometry
✍ B. de Wit; F. Saueressig 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 115 KB

## Abstract We review the relation between 4__n__‐dimensional quaternion‐Kähler metrics with __n__ + 1 abelian isometries and superconformal theories of __n__ + 1 tensor supermultiplets. As an application we construct the class of eight‐dimensional quaternion‐Kähler metrics with three abelian isome

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Geometry of quaternionic Kähler connections with torsion
✍ Stefan Ivanov 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 141 KB

The target space of a (4, 0) supersymmetric two-dimensional sigma model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy contained in SP(n)•SP(1), QKT connection. We study the geometry of QKT connections. We find conditions to the existence of a QKT connection