Supersymmetry and the cohomology of (hyper)Kaehler manifolds

Details Supersymmetry and the cohomology of (hyper)Kaehler manifolds Supersymmetry and the cohomology of (hyper)Kaehler manifolds

1997-05-21

arxiv.org/abs/hep-th/9705161v2

Nucl.Phys. B503 (1997) 614-626

Physics

High Energy Physics

High Energy Physics - Theory

15 pages (LaTeX2e) (A factor has been corrected in one equation.)

Scientific paper

10.1016/S0550-3213(97)00548-8

The cohomology of a compact Kaehler (resp. hyperKaehler) manifold admits the action of the Lie algebra so(2,1) (resp. so(4,1)). In this paper we show, following an idea of Witten, how this action follows from supersymmetry, in particular from the symmetries of certain supersymmetric sigma models. In addition, many of the fundamental identities in Hodge-Lefschetz theory are also naturally derived from supersymmetry.

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