Rolling Tachyon Boundary State, Conserved Charges and Two Dimensional String Theory

Abstract

The boundary state associated with the rolling tachyon solution on an unstable D-brane contains a part that decays exponentially in the asymptotic past and the asymptotic future, but it also contains other parts which either remain constant or grow exponentially in the past or future. We argue that the time dependence of the latter parts is completely determined by the requirement of BRST invariance of the boundary state, and hence they contain information about certain conserved charges in the system. We also examine this in the context of the unstable D0-brane in two dimensional string theory where these conserved charges produce closed string background associated with the discrete states, and show that these charges are in one to one correspondence with the symmetry generators in the matrix model description of this theory.

LaTeX file, 37 pages; v3: references added; v4: minor changes

References in corpus (37)

• Rolling Tachyon
• Tachyon Matter
• Structure Constants and Conformal Bootstrap in Liouville Field Theory
• Two and three-point functions in Liouville theory
• Spacelike Branes
• Liouville theory revisited
• Strings from Tachyons
• Ground Ring Of Two Dimensional String Theory
• Exact Solution of a Boundary Conformal Field Theory
• Oriented Open-Closed String Theory Revisited
• Boundary Deformation Theory and Moduli Spaces of D-Branes
• A Matrix Model Dual of Type 0B String Theory in Two Dimensions
• Timelike Boundary Liouville Theory
• Rolling Tachyons and Decaying Branes
• Algebraic Structures and Differential Geometry in 2D String Theory
• D-brane Decay in Two-Dimensional String Theory
• Rolling Tachyons from Liouville theory
• Classical and Quantum D-branes in 2D String Theory
• Coupling of Rolling Tachyon to Closed Strings
• Closed Strings as Imaginary D-branes
• Open and Closed Strings from Unstable D-branes
• On Correlation Functions for Non-critical Strings with c<1 but d>1
• Open-Closed Duality at Tree Level
• UV Finite Brane Decay
• The Rolling Tachyon as a Matrix Model
• Gravitational Scattering in the c = 1 Matrix Model
• Gauge Theory Formulation of the $c=1$ Matrix Model: Symmetries and Discrete States
• On the BCFT Description of Holes in the c=1 Matrix Model
• D-brane Dynamics in the c=1 Matrix Model
• Open/Closed Duality, Unstable D-Branes, and Coarse-Grained Closed Strings
• Discrete State Moduli of String Theory from c=1 Matrix Model
• Comments on Half S-Branes
• A Time-Dependent Classical Solution of C=1 String Field Theory and Non-Perturbative Effects
• String Interactions in c=1 Matrix Model
• The decay of quantum D-branes
• Interacting Theory of Collective and Topological Fields in 2 Dimensions
• Closed String Field Theory with Dynamical D-brane

Cited by in corpus (30)

• Tachyon Dynamics in Open String Theory
• String Scattering from Decaying Branes
• Rotating and Moving D-Branes in the Presence of Various Background Fields
• Fermion Representation Of The Rolling Tachyon Boundary Conformal Field Theory
• Exact time-localized solutions in Vacuum String Field Theory
• On The Problem of Particle Production in c=1 Matrix Model
• Minimal Superstrings and Loop Gas Models
• The Final Fate of the Rolling Tachyon
• Remarks on the rolling tachyon BCFT
• Liouville D-branes in Two-Dimensional Strings and Open String Field Theory
• Matrix Model and Time-like Linear Dilaton Matter
• Applications of Thirring Model to Inhomogenous Rolling Tachyon and Dissipative Quantum Mechanics
• Rolling tachyon and the Phase Space of Open String Field Theory
• Time-localized projectors in String Field Theory with E-field
• Noncritical osp(1|2,R) M-theory matrix model with an arbitrary time dependent cosmological constant
• AdS/CFT description of D-particle decay
• Boundary Super-Deformations, Boundary States, and Tachyon Condensation
• Rolling tachyon in anti-de Sitter space-time
• Fundamental strings in SFT
• On the Production of Open Strings from Brane Anti-Brane Annihilation
• Graviton production from D-string recombination and annihilation
• Closed String Radiation from the Interacting Fractional-Dressed D$p$-Branes with the Transverse Motions
• ZZ Brane Decay in D Dimensions
• On non-homogeneous tachyon condensation in closed string theory
• The Rolling Tachyon Boundary Conformal Field Theory on an Orbifold
• Moving Branes with Background Massless and Tachyon Fields in the Compact Spacetime
• Interaction of the branes in the Presence of the Background Fields: the Dynamical Non-intersecting Perpendicular Wrapped-Fractional Configuration
• Pair Creation of Open Strings between the Unstable-Dressed D$p$-branes
• Fractional Dp-Branes with Transverse and Tangential Dynamics in the Presence of Background Fluxes
• Higher Spins as Rolling Tachyons in Open String Field Theory