Generalized states in SFT

Understand

The search for analytic solutions in open string fields theory \`a la Witten often meets with singular expressions, which need an adequate mathematical formalism to be interpreted.

• In this paper we discuss this problem and propose a way to resolve the related ambiguities.
• Our claim is that a correct interpretation requires a formalism similar to distribution theory in functional analysis.
• To this end we concretely construct a locally convex space of test string states together with the dual space of functionals.