### Abstract

We consider unstable DO-branes of two dimensional string theory, described by the boundary state of Zamolodchikov and Zamolodchikov [36] multiplied by the Neumann boundary state for the time coordinate t. In the dual description in terms of the c = 1 matrix model, this DO-brane is described by a matrix eigenvalue on top of the upside down harmonic oscillator potential. As suggested by McGreevy and Verlinde [25], an eigenvalue rolling down the potential describes D-brane decay. As the eigenvalue moves down the potential to the asymptotic region it can be described as a free relativistic fermion. Bosonizing this fermion we get a description of the state in terms of a coherent state of the tachyon field in the asymptotic region, up to a non-local linear field redefinition by an energy-dependent phase. This coherent state agrees with the exponential of the closed string one-point function on a disk with Sen's marginal boundary interaction for t which describes DO-brane decay.

Original language | English (US) |
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Pages (from-to) | 1053-1069 |

Number of pages | 17 |

Journal | Journal of High Energy Physics |

Volume | 7 |

Issue number | 7 |

DOIs | |

State | Published - Jul 1 2003 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- Bosonic Strings
- D-branes
- Tachyon Condensation

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## Cite this

*Journal of High Energy Physics*,

*7*(7), 1053-1069. https://doi.org/10.1088/1126-6708/2003/07/045