STAINLESS SUPER P-BRANES

The elementary and solitonic supersymmetric p-brane solutions to super gravity theories form families related by dimensional reduction, each headed by a maximal ('stainless') member that cannot be isotropically dimensionally oxidized into higher dimensions. We find several new fam ilies, headed by stainless solutions in various dimensions D less than or equal to 9. In some cases, these occur with dimensions (D,p) that coincide with those of descendants of known families, but since the ne w solutions are stainless, they are necessarily distinct, The new stai nless supersymmetric solutions include a 6-brane and a 5-brane in D = 9, a string in D = 5, and particles in all dimensions 5 less than or e qual to D less than or equal to 9.