Journal of High Energy Physics

, 2012:120

Relating harmonic and projective descriptions of \( \mathcal{N}=2 \) nonlinear sigma models

Authors

    • School of Physics M013, The University of Western Australia
Article

DOI: 10.1007/JHEP11(2012)120

Cite this article as:
Butter, D. J. High Energ. Phys. (2012) 2012: 120. doi:10.1007/JHEP11(2012)120

Abstract

Recent papers have established the relationship between projective superspace and a complexified version of harmonic superspace. We extend this construction to the case of general nonlinear sigma models in both frameworks. Using an analogy with Hamiltonian mechanics, we demonstrate how the Hamiltonian structure of the harmonic action and the symplectic structure of the projective action naturally arise from a single unifying action on a complexified version of harmonic superspace. This links the harmonic and projective descriptions of hyperkähler target spaces. For the two examples of Taub-NUT and Eguchi-Hanson, we show how to derive the projective superspace solutions from the harmonic superspace solutions.

Keywords

Extended Supersymmetry Superspaces Sigma Models

Copyright information

© SISSA, Trieste, Italy 2012