Almost quaternionic, quaternionic, hyper-K/ihler, and quaternionic K/ihler supermanifolds are introduced and studied.
Tensor supermultiplets and toric quaternion-Kähler geometry
✍ Scribed by B. de Wit; F. Saueressig
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 115 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0015-8208
No coin nor oath required. For personal study only.
✦ Synopsis
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 isometries in terms of a single function obeying a set of linear second‐order partial differential equations.
📜 SIMILAR VOLUMES
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
## Abstract We summarize an explicit construction of a duality cycle for geometric transitions in type II and heterotic theories. We emphasize that the manifolds with torsion constructed with this duality cycle are crucial for understanding different phenomena appearing in effective field theories.
## Abstract In a previous paper the author has generalized the Kähler angle to the multiple Kähler angle and formulated a Poincaré formula for any real submanifolds in complex projective spaces ℂ__P__^__n__^ using the multiple Kähler angles of the submanifolds. In this paper we formulate a Poincaré