Matrix Sigma-models for Multi D-brane Dynamics

Abstract

We describe a dynamical worldsheet origin for the Lagrangian describing the low-energy dynamics of a system of parallel D-branes. We show how matrix-valued collective coordinate fields for the D-branes naturally arise as couplings of a worldsheet sigma-model, and that the quantum dynamics require that these couplings be mutually noncommutative. We show that the low-energy effective action for the sigma-model couplings describes the propagation of an open string in the background of the multiple D-brane configuration, in which all string interactions between the constituent branes are integrated out and the genus expansion is taken into account, with a matrix-valued coupling. The effective field theory is governed by the non-abelian Born-Infeld target space action which leads to the standard one for D-brane field theory.

14 pages LaTeX, 1 encapsulated postscript figure; uses epsf.tex

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• Space-Time Foam may Violate the Principle of Equivalence
• Field dynamics and tunneling in a flux landscape
• Noncommutative Geometry and Spacetime Gauge Symmetries of String Theory
• Non-linear Schroedinger Dynamics of Matrix D-branes
• D-Brane Recoil and Supersymmetry Obstruction
• Bulk photons in Asymmetrically Warped Space-times and Non-trivial Vacuum Refractive Index
• The mass term in non-Abelian gauge field dynamics on matrix D-branes and T-duality in the $\sigma$-model approach
• Asymmetrically Warped Brane Models, Bulk Photons and Lorentz Invariance
• Branon stabilization from fermion-induced radiative corrections
• $N=1$ fermionic D3-branes in RNS formulation I. $C^{\infty }$-Algebrogeometric foundations of $d=4$, $N=1$ supersymmetry, SUSY-rep compatible hybrid connections, and $\hat{D}$-chiral maps from a $d=4$ $N=1$ Azumaya/matrix superspace