More on stubs in open string field theory

Abstract We continue our analysis of open string field theory based on A ∞ -algebras obtained from Witten’s theory by attaching stubs to the elementary vertex. Classical solutions of the new theory can be obtained from known analytic solutions in Witten’s theory by applying a cohomomorphism. In a pr...

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Main Authors: Martin Schnabl, Georg Stettinger
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2025)017
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author Martin Schnabl
Georg Stettinger
author_facet Martin Schnabl
Georg Stettinger
author_sort Martin Schnabl
collection DOAJ
description Abstract We continue our analysis of open string field theory based on A ∞ -algebras obtained from Witten’s theory by attaching stubs to the elementary vertex. Classical solutions of the new theory can be obtained from known analytic solutions in Witten’s theory by applying a cohomomorphism. In a previous work two such cohomomorphisms were found, one non-cyclic, obtained from the homological perturbation lemma and another one by geometric methods. Here we show that to first order in the stub length the two resulting maps are related by a combination of a gauge transformation and a term vanishing on-shell. We also extend our construction to more general gauges and explicitly calculate the first few orders of the new A ∞ -algebra solutions in the sliver frame.
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series Journal of High Energy Physics
spelling doaj-art-bc7ecbbf9f1b40f29b4a14de761203122025-02-09T12:08:29ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025213210.1007/JHEP02(2025)017More on stubs in open string field theoryMartin Schnabl0Georg Stettinger1CEICO, Institute of Physics of the Czech Academy of SciencesCEICO, Institute of Physics of the Czech Academy of SciencesAbstract We continue our analysis of open string field theory based on A ∞ -algebras obtained from Witten’s theory by attaching stubs to the elementary vertex. Classical solutions of the new theory can be obtained from known analytic solutions in Witten’s theory by applying a cohomomorphism. In a previous work two such cohomomorphisms were found, one non-cyclic, obtained from the homological perturbation lemma and another one by geometric methods. Here we show that to first order in the stub length the two resulting maps are related by a combination of a gauge transformation and a term vanishing on-shell. We also extend our construction to more general gauges and explicitly calculate the first few orders of the new A ∞ -algebra solutions in the sliver frame.https://doi.org/10.1007/JHEP02(2025)017Bosonic StringsString Field TheoryTachyon Condensation
spellingShingle Martin Schnabl
Georg Stettinger
More on stubs in open string field theory
Journal of High Energy Physics
Bosonic Strings
String Field Theory
Tachyon Condensation
title More on stubs in open string field theory
title_full More on stubs in open string field theory
title_fullStr More on stubs in open string field theory
title_full_unstemmed More on stubs in open string field theory
title_short More on stubs in open string field theory
title_sort more on stubs in open string field theory
topic Bosonic Strings
String Field Theory
Tachyon Condensation
url https://doi.org/10.1007/JHEP02(2025)017
work_keys_str_mv AT martinschnabl moreonstubsinopenstringfieldtheory
AT georgstettinger moreonstubsinopenstringfieldtheory