DLCQ of Fivebranes, Large N Screening, and L^2 Harmonic Forms on Calabi Manifolds

Abstract

We find one explicit L^2 harmonic form for every Calabi manifold. Calabi manifolds are known to arise in 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 non-commutative setting, or equivalently a unit Kaluza-Klein mode in DLCQ of fivebrane worldvolume theory. As the ground state of nonabelian massless monopoles realized around a monopole-``anti''-monopole pair, it shows how the long range force between the pair is screened in a manner reminiscent of large N behavior of quark-anti-quark potential found in AdS/CFT correspondence.

LaTeX, 23 pages

References in corpus (2)

• Anomaly of (2,0) Theories
• Scattering of massless and massive monopoles in an SU(N) theory

Cited by in corpus (7)

• On instantons as Kaluza-Klein modes of M5-branes
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• Deformed Matrix Theories with N=8 and Fivebranes in the PP Wave Background
• Propagators in Noncommutative Instantons
• Twisting E8 Five-Branes
• BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions
• Hodge cohomology of gravitational instantons