Dielectric Fundamental Strings in Matrix String Theory

Abstract

Matrix string theory is equivalent to type IIA superstring theory in the light-cone gauge, together with extra degrees of freedom representing D-brane states. It is therefore the appropriate framework in which to study systems of multiple fundamental strings expanding into higher-dimensional D-branes. Starting from Matrix theory in a weakly curved background, we construct the linear couplings of closed string fields to type IIA Matrix strings. As a check, we show that at weak coupling the resulting action reproduces light-cone gauge string theory in a weakly curved background. Further dualities give a type IIB Matrix string theory and a type IIA theory of Matrix strings with winding. We comment on the dielectric effect in each of these theories, giving some explicit solutions describing fundamental strings expanding into various Dp-branes.

Plain LaTeX, 25 pages. Reference added. Version to appear to NPB

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• The polarization of F1 strings into D2 branes: "Aut Caesar aut nihil"
• Type II pp-wave Matrix Models from Point-like Gravitons
• Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action
• The baryon vertex with magnetic flux
• Exact N=2 Supergravity Solutions With Polarized Branes
• Kinky D-branes and straight strings of open string tachyon effective theory
• Non-Abelian Giant Gravitons
• YM on the dielectric brane: a D0-brane tale
• Multiple fundamental strings and waves to non-linear order in the background fields