Planar homotopy algebras and open-string field theory

Chiaffrino, Christoph (2020): Planar homotopy algebras and open-string field theory. Dissertation, LMU München: Fakultät für Physik

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.

• Dokumententyp: Dissertationen (Dissertation, LMU München)
• Themengebiete: 500 Naturwissenschaften und Mathematik ; 500 Naturwissenschaften und Mathematik > 530 Physik
• Fakultäten: Fakultät für Physik
• Sprache der Hochschulschrift: Englisch
• Datum der mündlichen Prüfung: 26. November 2020
• 1. Bericht­erstatter:in: Sachs, Ivo