D-brane Dynamics in the c=1 Matrix Model

Abstract

Recent work has shown that unstable D-branes in two dimensional string theory are represented by eigenvalues in a dual matrix model. We elaborate on this proposal by showing how to systematically include higher order effects in string perturbation theory. The full closed string state produced by a rolling open string tachyon corresponds to a sum of string amplitudes with any number of boundaries and closed string vertex operators. These contributions are easily extracted from the matrix model. As in the AdS/CFT correspondence, the sum of planar diagrams in the open string theory is directly related to the classical theory in the bulk, i.e. sphere diagrams. We also comment on the description of static D-branes in the matrix model, in terms of a solution representing a deformed Fermi sea.

19 pages. v2: references added, comments on vanishing disk amplitudes

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• Unitary and Complex Matrix Models as 1-d Type 0 Strings
• Flux Backgrounds in 2D String Theory
• Boundary States for the Rolling D-branes in NS5 Background
• On the S-matrix of Type 0 String Theory
• Rolling Tachyon Boundary State, Conserved Charges and Two Dimensional String Theory
• Two-Dimensional Unoriented Strings And Matrix Models
• Open/Closed Duality, Unstable D-Branes, and Coarse-Grained Closed Strings
• (m,n) ZZ branes and the c=1 matrix model
• The Cap in the Hat: Unoriented 2D Strings and Matrix(-Vector) Models
• On The Problem of Particle Production in c=1 Matrix Model
• Renormalization Group Approach to $c=1$ Matrix Model on a circle and D-brane Decay
• Note on D-Brane Effective Action in the Linear Dilaton Background
• One-loop Evolution of a Rolling Tachyon
• Notes on D-branes in 2D Type 0 String Theory
• Non-perturbative RR Potentials in the c=1 Matrix Model
• Proposal for the Open String Tachyon Effective Action in the Linear Dilaton Background
• c=1 from c<1: Bulk and boundary correlators
• On Tachyon condensation and open-closed duality in the c=1 string theory
• Rolling tachyon solution of two-dimensional string theory
• Tachyon Condensation, Open-Closed Duality, Resolvents, and Minimal Bosonic and Type 0 Strings