Discrete light cone quantization of fivebranes, large N screening, and L2 harmonic forms on Calabi manifolds

We find one explicit L2 harmonic form for every Calabi manifold. Calabi manifolds are known to arise in the low energy dynamics of solitons in Yang-Mills theories, and the L2 harmonic form corresponds to the supersymmetric ground state. As the normalizable ground state of a single U(N) instanton, it is related to the bound state of a single D0 to multiple coincident D4's in the noncommutative setting, or equivalently a unit Kaluza-Klein mode in the discrete light cone quantization of fivebrane world-volume theory. As the ground state of non-Abelian massless monopoles realized around a monopole-'antimonopole' pair, it shows how the long range force between the pair is screened in a manner reminiscent of the large N behavior of the quark-antiquark potential found in AdS/CFT correspondence