Kaehler manifolds and supersymmetry

Details Kaehler manifolds and supersymmetry Kaehler manifolds and supersymmetry

2003-09-09

arxiv.org/abs/hep-th/0309094v1

Acta Phys.Polon. B34 (2003) 5983-6004

Physics

High Energy Physics

High Energy Physics - Theory

Lectures at the 43rd Cracow School of Theoretical Physics (Zakopane, june 2003); 21 pages, 2 figures

Scientific paper

Supersymmetric field theories of scalars and fermions in 4-D space-time can be cast in the formalism of Kaehler geometry. In these lectures I review Kaehler geometry and its application to the construction and analysis of supersymmetric models on Kaehler coset manifolds. It is shown that anomalies can be eliminated by the introduction of line-bundle representations of the coset symmetry groups. Such anomaly-free models can be gauged consistently and used to construct alternatives to the usual MSSM and supersymmetric GUTs.

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