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More on stubs in open string field theory

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arxiv 2402.00308 v2 pith:HRNRPWNC submitted 2024-02-01 hep-th

classification hep-th
keywords theorystubsobtainedfieldframegeometricopenresulting
verification ladder T0 review T1 audit T2 compute T3 formal
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We continue our analysis of open string field theory based on A-infinity-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 cyclic one by geometric methods. Here we show that the two resulting maps are related by a combination of a gauge transformation and a term vanishing on-shell. In the second part of the paper we generalize the whole construction to non-BPZ even stubs, in particular sliver frame stubs. We discuss algebraic and geometric aspects and analyze the resulting conditions on the homotopy operator. Moreover, we explicitly calculate the first few orders of the new A-infinity-algebra solution for the tachyon vacuum in the sliver frame.

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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. The BEF Symplectic Form: A Lagrangian Perspective

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    The BEF symplectic form is derived from L∞-Lagrangians via covariant phase space methods and coincides with the Barnich-Brandt form for second-order equations of motion.

  2. Symplectic structure in open string field theory III: Electric field

    hep-th 2026-04 conditional novelty 6.0 of 10

    OSFT symplectic energy of a constant-electric-flux D-brane matches the DBI energy via a generalized Ellwood invariant for nonpolynomial theories.

  3. 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.

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