New supersymmetric σ-model duality

  • Sergei M. Kuzenko
  • Ulf Lindström
  • Rikard von Unge
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Abstract

We study dualities in off-shell 4D \( \mathcal{N} = 2 \) supersymmetric σ-models, using the projective superspace approach. These include (i) duality between the real \( \mathcal{O}\left( {2n} \right) \) and polar multiplets; and (ii) polar-polar duality. We demonstrate that the dual of any superconformal σ-model is superconformal. Since \( \mathcal{N} = 2 \) superconformal σ-models (for which target spaces are hyperkähler cones) formulated in terms of polar multiplets are naturally associated with Kähler cones (which are target spaces for \( \mathcal{N} = 1 \) superconformal σ-models), polar-polar duality generates a transformation between different Kähler cones. In the non-superconformal case, we study implications of polar-polar duality for the σ-model formulation in terms of \( \mathcal{N} = 1 \) chiral superfields. In particular, we find the relation between the original hyperkähler potential and its dual. As an application of polar-polar duality, we study self-dual models.

Keywor ds Supersymmetry and Duality Extended Supersymmetry Superspaces 
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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • Sergei M. Kuzenko
    • 1
  • Ulf Lindström
    • 2
  • Rikard von Unge
    • 3
  1. 1.School of Physics M013The University of Western AustraliaCrawleyAustralia
  2. 2.Theoretical Physics, Department of Physics and AstronomyUppsala UniversityUppsalaSweden
  3. 3.Institute for Theoretical PhysicsMasaryk UniversityBrnoCzech Republic

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