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arXiv · hep-th/9711012

Matrix Sigma-models for Multi D-brane Dynamics

F. Lizzi·N. E. Mavromatos·R. J. Szabo
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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.

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F. Lizzi, N. E. Mavromatos, R. J. Szabo. 1997-11-03. Matrix Sigma-models for Multi D-brane Dynamics. https://doi.org/10.1142/s0217732398000905

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