Vybraná témata z teorie strunového pole

Stettinger, Georg

This thesis deals with two topics in string field theory (SFT) which are of interest in current research: The role of stubs in open bosonic SFT and its variational principle in presence of a target space boundary. The first part is a pedagogical introduction into the field of bosonic SFT. After discussing some general properties we expect, Witten's open SFT and Zwiebach's closed SFT are presented in detail. This means we set up the action, explain the algebraical and geometrical structure and mention physical applications. In the open case we review the most important analytic solutions including the necessary operator technology whileas in the closed case we focus on quantization and the more elaborate construction of the vertices. The second part contains the papers I have completed within my PhD [?, ?, ?, ?], where the first three deal with stubs in OSFT and the last one with boundary terms. Stubs in string field theory are interesting for various reasons, including building a bridge between the algebraic structures of open and closed SFT or acting as a regulator for otherwise ill-defined solutions. We have shown how stubs can be implemented into Witten theory using a generalized version of the homological perturbation lemma. The resulting theory is based on an A∞-action and hence algebraically...

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