The Rolling Tachyon as a Matrix Model

Abstract

We express all correlation functions in timelike boundary Liouville theory as unitary matrix integrals and develop efficient techniques to evaluate these integrals. We compute large classes of correlation functions explicitly, including an infinite number of terms in the boundary state of the rolling tachyon. The matrix integrals arising here also determine the correlation functions of gauge invariant operators in two dimensional Yang-Mills theory, suggesting an equivalence between the rolling tachyon and QCD_2.

22pages. 3 figures. v2: added reference, fixed minor typos

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Cited by in corpus (43)

• Liouville Field Theory -- A decade after the revolution
• A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
• Remarks on Tachyon Driven Cosmology
• Prospects of Inflation
• Holographic Cosmology 3.0
• Open-Closed Duality at Tree Level
• UV Finite Brane Decay
• Taming the Tachyon in Cubic String Field Theory
• Rolling Tachyon Boundary State, Conserved Charges and Two Dimensional String Theory
• String Scattering from Decaying Branes
• Rolling to the tachyon vacuum in string field theory
• D-brane Dynamics in the c=1 Matrix Model
• On Superstring Disk Amplitudes in a Rolling Tachyon Background
• Closed Superstring Emission from Rolling Tachyon Backgrounds
• Comments on Half S-Branes
• S-matrix elements and off-shell tachyon action with non-abelian gauge symmetry
• String Interactions in c=1 Matrix Model
• A Thermodynamic Interpretation of Time for Rolling Tachyons
• Fermion Representation Of The Rolling Tachyon Boundary Conformal Field Theory
• A solution to the 4-tachyon off-shell amplitude in cubic string field theory
• Backreaction and the rolling tachyon -- an effective action point of view
• The Schrödinger Wave Functional and S-branes
• Timelike Boundary Sine-Gordon Theory and Two-Component Plasma
• Critical Boundary Sine-Gordon Revisited
• Note on D-Brane Effective Action in the Linear Dilaton Background
• Remarks on the rolling tachyon BCFT
• The Final Fate of the Rolling Tachyon
• Closed String Emission from Unstable D-brane with Background Electric Field
• N-point functions in rolling tachyon background
• Hagedorn divergences and tachyon potential
• Non-abelian expansion of S-matrix elements and non-abelian tachyon DBI action
• The Schrodinger Wave Functional and Closed String Rolling Tachyon
• Boundary String Field Theory as a Field Theory -- Mass Spectrum and Interaction
• Moduli Space of Unstable D-branes on a Circle of Critical Radius
• Thermal Partition Functions for S-branes
• Non-perturbative RR Potentials in the c=1 Matrix Model
• Electrostatics of Coulomb gas, lattice paths, and discrete polynuclear growth
• Applications of Thirring Model to Inhomogenous Rolling Tachyon and Dissipative Quantum Mechanics
• New results for the SQCD Hilbert series
• Electrostatics approach to closed string pair production from a decaying D-brane
• S-matrix elements and covariant tachyon action in type 0 theory
• On the Production of Open Strings from Brane Anti-Brane Annihilation
• On non-homogeneous tachyon condensation in closed string theory