Generalized symmetry superalgebras

We generalize the symmetry superalgebras of isometries and geometric Killing spinors on a manifold to include all hidden symmetries generated by in dimensions. show that bilinears produce special Killing–Yano forms conformal forms. After defining Lie algebra structure spinors, we construct operators as generalizations derivative spinor fields. All these constructions together constitute generalized superalgebras. exemplify construction weak G2 nearly Kähler manifolds.