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Communications in Mathematical Physics

, Volume 213, Issue 1, pp 19–37 | Cite as

Geometry of Hyper-Kähler Connections with Torsion

  • Gueo Grantcharov
  • Yat Sun Poon

Abstract:

The internal space of a N = 4 supersymmetric model with Wess–Zumino term has a connection with totally skew-symmetric torsion and holonomy in SP(n). We study the mathematical background of this type of connection. In particular, we relate it to classical Hermitian geometry, construct homogeneous as well as inhomogeneous examples, characterize it in terms of holomorphic data, develop its potential theory and reduction theory.

Keywords

Potential Theory Internal Space Supersymmetric Model Reduction Theory Mathematical Background 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Gueo Grantcharov
    • 1
  • Yat Sun Poon
    • 1
  1. 1.Department of Mathematics, University of California at Riverside, Riverside, CA 92521, USA.¶E-mail: geogran@math.ucr.edu; ypoon@math.ucr.eduUS

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