A Model for the HyperKahler Metrics Building Program

  • Authors

    • A. El Boukili
    • M.B. sedra
    • A. Zemate
  • 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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  • How to Cite

    El Boukili, A., sedra, M., & Zemate, A. (2012). A Model for the HyperKahler Metrics Building Program. International Journal of Basic and Applied Sciences, 1(4), 511-515. https://doi.org/10.14419/ijbas.v1i4.362