More on stubs in open string field theory

Abstract

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.

33 pages; Version 2 contains a more detailed discussion of generalized stubs and the geometric and algebraic subleties and singularities that appear in the sliver frame

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Cited by in corpus (5)

• Sliver frame stubs in OSFT via auxiliary fields
• Symplectic structure in open string field theory I: Rolling tachyons
• Symplectic structure in open string field theory III: Electric field
• Singular field redefinition between Witten's string field theory and Witten's theory deformed by Ellwood invariant
• A consistent light-cone-gauge superstring field theory