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Hyper-Kähler geometry via dualization

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Czechoslovak Journal of Physics Aims and scope

Abstract

We present a method of construction of sigma-models with target space geometries different from conformally flat ones. The method is based on treating the constancy of a coupling constant as a dynamical constraint following as an equation of motion. In this way we buildN=8 supersymmetric four-dimensional sigma-models ind=1 with hyper-Kähler target space possessing one isometry, which commutes with supersymmetry.

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Authors and Affiliations

  1. Department of Mathematics, Czech Technical University, Trojanova 13, 120 00, Prague 2, Czech Republic

    Č. Burdík

  2. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia

    S. Krivonos & A. Shcherbakov

Authors
  1. Č. Burdík
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  2. S. Krivonos
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  3. A. Shcherbakov
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Additional information

This work was partially supported by grants RFBR-06-02-16684, DFG 436 Rus 113/669/0–3, and by GACR 201/05/0857.

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Burdík, Č., Krivonos, S. & Shcherbakov, A. Hyper-Kähler geometry via dualization. Czech J Phys 56, 1099–1103 (2006). https://doi.org/10.1007/s10582-006-0408-8

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  • DOI: https://doi.org/10.1007/s10582-006-0408-8

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