Uniqueness of the coordinate independent Spin(9)xSU(2) state of Matrix Theory

We explicitly prove, using some nontrivial identities involving gamma matrices, that there can be only one Spin(9)xSU(2) invariant state which depends only on fermionic variables

U(1) invariant Membranes and Singularities

A formulation of U(1) - symmetric classical membrane motions (preserving one rotational symmetry) is given, and reductions to systems of ODE's, as well as some ideas concerning singularities and integrability.Comment: 6 page