Generalized states in SFT

Abstract

The search for analytic solutions in open string fields theory à 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. We show that the above suspicious expressions can be identified with well defined elements of the dual.

Eq.(64) has been corrected and a comment added

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• Analytical Solutions of Open String Field Theory
• On Multibrane Solutions in Open String Field Theory
• Marginally Deformed Rolling Tachyon around the Tachyon Vacuum in Open String Field Theory
• Tachyon potential in KBc subalgebra
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Cited by in corpus (4)

• String Field Theory Solution for Any Open String Background
• From the Berkovits formulation to the Witten formulation in open superstring field theory
• Open String Fields as Matrices
• Level truncation analysis of a simple tachyon vacuum solution in cubic superstring field theory