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N = 4 Superconformal Algebra in Curved Space and Pseudo-Hyper-Kähler Geometry

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Abstract

We construct the representation of the small N = 4 superconformal algebra in curved space under the minimal interaction assumption. We find that the structure relations of the algebra are satisfied within our assumption in the background of the metric of a pseudo-hyper-Kähler manifold.

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Authors and Affiliations

  1. Tomsk Polytechnical University, Tomsk, Russia

    A. V. Galajinsky & A. N. Myagky

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  1. A. V. Galajinsky
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  2. A. N. Myagky
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Galajinsky, A.V., Myagky, A.N. N = 4 Superconformal Algebra in Curved Space and Pseudo-Hyper-Kähler Geometry. Theoretical and Mathematical Physics 138, 88–97 (2004). https://doi.org/10.1023/B:TAMP.0000010636.12320.7f

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  • DOI: https://doi.org/10.1023/B:TAMP.0000010636.12320.7f

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