## Abstract

We find one explicit L^{2} 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 L^{2} 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.

Original language | English |
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Article number | 065024 |

Pages (from-to) | 650241-6502411 |

Number of pages | 5852171 |

Journal | Physical Review D |

Volume | 65 |

Issue number | 6 |

DOIs | |

State | Published - 15 Mar 2002 |

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