Singular gauge transformations in string field theory

Abstract

We show that the existence of a tachyon vacuum puts tight restrictions on the form of solutions to the equations of motion of string field theory. In particular, we demonstrate that every solution can be written as a - formal - gauge transformation of the tachyon vacuum. In order for a solution to be non-trivial, this gauge transformation must be singular and we argue that this will happen when the gauge transformation annihilates a projector of the star-algebra. We comment on possible applications of the formalism to finding new solutions.

33 pages, 2 figures. v2: Additional citations added

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Cited by in corpus (23)

• Analytical Solutions of Open String Field Theory
• String Field Theory Solution for Any Open String Background
• Solutions from boundary condition changing operators in open string field theory
• Relevant Deformations in Open String Field Theory: a Simple Solution for Lumps
• Analytic Solution for Tachyon Condensation in Berkovits' Open Superstring Field Theory
• Connecting Solutions in Open String Field Theory with Singular Gauge Transformations
• Four Lectures on Analytic Solutions in Open String Field Theory
• Solutions from boundary condition changing operators in open superstring field theory
• Comments on Lumps from RG flows
• Energy from the gauge invariant observables
• String Field Theory Solution for Any Open String Background. II
• The energy of the analytic lump solution in SFT
• Comments on regularization of identity based solutions in string field theory
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• The Identity String Field and the Sliver Frame Level Expansion
• String theory as a diffusing system
• A simple solution for marginal deformations in open string field theory
• Gauge-invariant observables and marginal deformations in open string field theory
• Analytic solutions for Dp branes in SFT
• Multibrane solutions in cubic superstring field theory
• Generating Erler-Schnabl-type Solution for Tachyon Vacuum in Cubic Superstring Field Theory
• Rolling Near the Tachyon Vacuum
• Travelling Front of a Decaying Brane in String Field Theory