### Abstract

The influence of closed string moduli on the D-brane moduli space is studied from a worldsheet point of view. Whenever a D-brane cannot be adjusted to an infinitesimal change of the closed string background, the corresponding exactly marginal bulk operator ceases to be exactly marginal in the presence of the brane. The bulk perturbation then induces a renormalization group flow on the boundary whose end-point describes a conformal D-brane of the perturbed theory. We derive the relevant renormalization group equations in general and illustrate the phenomenon with a number of examples, in particular the radius deformation of a free boson on a circle. At the self-dual radius we can give closed formulae for the induced boundary flowswhich are exact in the boundary coupling constants.

Original language | English (US) |
---|---|

Pages (from-to) | F17-F31 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 40 |

Issue number | 1 |

DOIs | |

State | Published - Jan 5 2007 |

Externally published | Yes |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'Bulk-induced boundary perturbations'. Together they form a unique fingerprint.

## Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*40*(1), F17-F31. https://doi.org/10.1088/1751-8113/40/1/F03