Abstract
The eigenvalue equation for a fermion in the field of the pseudoparticle of the Yang-Mills theory is solved using the formalism of the four dimensional hypersphere. All the fermionic zero modes for a SU(2) gauge group belong to a singly nondegenerate O(5) representation. In the case of isospin n their multiplicity is given by 2 3 n (n+1)(2n+1) . If the fermions are in the adjoint representation the eigenfunctions of the zero modes are directly obtainable from considerations pertaining to the supersymmetry of the Yang-Mills Lagrangian.
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