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Connecting Solutions in Open String Field Theory with Singular Gauge Transformations

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arxiv 1201.5119 v2 pith:KRWZQ3KU submitted 2012-01-24 hep-th

Theodore Erler , Carlo Maccaferri This is my paper · ORCID
classification hep-th
keywords gaugefieldsolutionsstringopentheoryclassicalconnecting
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We show that any pair of classical solutions of open string field theory can be related by a formal gauge transformation defined by a gauge parameter $U$ without an inverse. We investigate how this observation can be used to construct new solutions. We find that a choice of gauge parameter consistently generates a new solution only if the BRST charge maps the image of $U$ into itself. When this occurs, we argue that $U$ naturally defines a star algebra projector which describes a surface of string connecting the boundary conformal field theories of the classical solutions related by $U$. We also note that singular gauge transformations give the solution space of open string field theory the structure of a category, and we comment on the physical interpretation of this observation.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Deriving on-shell open string field amplitudes without using Feynman rules

    hep-th 2019-08 conditional novelty 7.0 of 10

    New gauge-invariant functionals of the open string field are shown to reproduce on-shell tree-level amplitudes around known D-brane backgrounds without using Feynman rules.

  2. Singular field redefinition between Witten's string field theory and Witten's theory deformed by Ellwood invariant

    hep-th 2026-01 conditional novelty 6.0 of 10

    A singular field redefinition connects Witten's open string field theory to its Ellwood-invariant deformation, and the tachyon vacuum transfers consistently.

  3. On Analytical Solutions in Witten's Cubic Open String Field Theory

    hep-th 2024-12 accept novelty 3.0 of 10

    A lecture-note review of analytic tachyon vacuum solutions in open string field theory, including a one-parameter family of which the b = -1 member is non-physical.

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