Supersymmetry and the cohomology of (hyper) Kähler manifolds

J.M. Figueroa-O'Farrill, C. Köhl, B. Spence
1997 Nuclear Physics B  
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.
doi:10.1016/s0550-3213(97)00548-8 fatcat:qyeue74avnf47kk6jzttwge6dy