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Relating Berkovits and $A_\infty$ Superstring Field Theories; Small Hilbert Space Perspective

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arxiv 1505.02069 v2 pith:I2FXBQQL submitted 2015-05-08 hep-th

classification hep-th
keywords fieldinftyrelationsuperstringberkovitshilbertopenperspective
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abstract

In a previous paper it was shown that the recently constructed action for open superstring field theory based on $A_\infty$ algebras can be re-written in Wess-Zumino-Witten-like form, thus establishing its relation to Berkovits' open superstring field theory. In this paper we explain the relation between these two theories from a different perspective which emphasizes the small Hilbert space, and in particular the relation between the $A_\infty$ structures on both sides.

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Cited by 2 Pith papers

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

  1. Conserved charges and $L_\infty$ algebras

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    A formula for conserved charges expressed solely via L_infinity algebra data for arbitrary Lagrangian theories, shown to recover the Brown-York surface charge in GR.

  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.

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