Complete Action for Open Superstring Field Theory with Cyclic $A_{\infty }$ Structure

Abstract

We construct a gauge invariant action for the Neveu-Schwarz and Ramond sectors of open superstring field theory realizing a cyclic $A_{\infty }$ structure, providing the first complete and fully explicit solution to the classical Batalin-Vilkovisky master equation in superstring field theory. We also demonstrate the equivalence of our action to the Wess-Zumino-Witten-based construction of Kunitomo and one of the authors.

41 pages, added discussion of PCO in subsection 3.1

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Cited by in corpus (40)

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• Closed Superstring Field Theory and its Applications
• String Field Theory -- A Modern Introduction
• String Field Theory as World-sheet UV Regulator
• D-instanton Perturbation Theory
• Classical algebraic structures in string theory effective actions
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Background Independence of Closed Superstring Field Theory
• Superstring Field Theory and the Wess-Zumino-Witten Action
• Open superstring field theory based on the supermoduli space
• The classical cosmological constant of open-closed string field theory
• One Loop Tadpole in Heterotic String Field Theory
• Heterotic string field theory with cyclic L-infinity structure
• Localization of effective actions in open superstring field theory
• Closed string theory without level-matching at the free level
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• Supersymmetry in Open Superstring Field Theory
• Pictures from Super Chern-Simons Theory
• Generalized ADHM equations from marginal deformations in open superstring field theory
• Gauge-invariant operators of open bosonic string field theory in the low-energy limit
• String Field Theory
• Closed string deformations in open string field theory II: superstring
• Localization of effective actions in Heterotic String Field Theory
• Comments on complete actions for open superstring field theory
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• Space-time supersymmetry in WZW-like open superstring field theory
• Tree-level S-matrix of superstring field theory with homotopy algebra structure
• Type II superstring field theory with cyclic L-infinity structure
• Nonperturbative definition of closed string theory via open string field theory
• Fermion scattering amplitudes from gauge-invariant actions for open superstring field theory
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• Superstring Field Theory, Superforms and Supergeometry
• $A_{\infty }$ perspective to Sen's formalism
• Algebraic Structures In Closed Superstring Field Theory, Homotopy Transfer And Effective Actions
• On the BV formalism of open superstring field theory in the large Hilbert space
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• Type II superstring field theory revisited
• A consistent light-cone-gauge superstring field theory
• On Democratic String Field Theories
• Open superstring field theory including the Ramond sector based on the supermoduli space