A Model for the HyperKahler Metrics Building Program

Authors

  • A. El Boukili
  • M.B. sedra
  • A. Zemate

DOI:

https://doi.org/10.14419/ijbas.v1i4.362

Published:

2012-09-10

Abstract

It’s by now well known that the harmonic superspace provides astrong framework for constructing general hyperK¨ahler metrics. Origi-nal results in this issue are given by the Taub-Nut and Egushi-Hansonmetrics exhibiting both U(1) Pauli-Gursey isomertie as shown by Gib-bon et all in [1]. It’s also shown that there exist series of potentialdepending explicitly on the harmonics variables u± on the sphere S2.Based on these knowledge and on previous contributions to the pro-gram of metrics building [2, 3], we contribute by presenting a specialhyperK¨ahler potential H+4 leading to an -parametrized Liouville equa-tion on the harmonic superspace.

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