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<p>We continue our analysis of open string field theory based on <i>A</i><sub><i>∞</i></sub>-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 <i>A</i><sub><i>∞</i></sub>-algebra solutions in the sliver frame.</p>

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More on stubs in open string field theory

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月5日

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  • Martin Schnabl,
  • Georg Stettinger

摘要

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.