Chiaffrino, Christoph (2020): Planar homotopy algebras and open-string field theory. Dissertation, LMU München: Faculty of Physics |

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**DOI**: 10.5282/edoc.28407

### Abstract

This thesis is concerned about the existence of a open-string field theory that is consistent at the quantum level without coupling to the closed string. We want to achieve this via a restriction to planar Feynman graphs. Our aim is to formulate this theory in the mathematical language of homotopy algebras. We further ask whether such a formulation is applies also to general gauge theories, in particular in the limit of large gauge groups. Finally, we will discuss the problems of such a formulation, as well as how these can be solved by lifting the restriction to planar diagrams only. This work should also serve as an extensive introduction to the Batalin-Vilkovisky formalism. We look at different mathematical aspects of this formalism and its relation to homotopy algebras.

Item Type: | Theses (Dissertation, LMU Munich) |
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Subjects: | 500 Natural sciences and mathematics 500 Natural sciences and mathematics > 530 Physics |

Faculties: | Faculty of Physics |

Language: | English |

Date of oral examination: | 26. November 2020 |

1. Referee: | Sachs, Ivo |

MD5 Checksum of the PDF-file: | 935ba0a717feb647f5b510b1aaf0dc03 |

Signature of the printed copy: | 0001/UMC 28126 |

ID Code: | 28407 |

Deposited On: | 09. Aug 2021 09:06 |

Last Modified: | 09. Aug 2021 09:06 |