Ivo Sachs, LMU Munich
Homotopy Algebras and String Field Theory

We revisit the existence, background independence and uniqueness of bosonic- and topological string field theory using the machinery of homotopy algebra. In a theory of classical open- and closed strings, the space of inequivalent open string field theories is shown to be isomorphic to the space of classical closed string backgrounds. We then discuss obstructions of these moduli spaces at the quantum level.