Discrete light cone quantization of fivebranes, large N screening, 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.