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

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Abstract
This thesis is concerned about the existence of a openstring 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 BatalinVilkovisky formalism. We look at different mathematical aspects of this formalism and its relation to homotopy algebras.
Item Type:  Theses (Dissertation, LMU Munich) 

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 PDFfile:  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 