Superstring Field Theory and the Wess-Zumino-Witten Action

Abstract

We describe a notion of "higher" Wess-Zumino-Witten-like action which is natural in the context of superstring field theories formulated in the large Hilbert space. For the open string, the action is characterized by a pair of commuting cyclic $A_{\infty }$ structures together with a hierarchy of higher-form potentials analogous to the Maurer-Cartan elements which appear in the conventional Wess-Zumino-Witten action. We apply this formalism to get a better understanding of symmetries of open superstring field theory and the structure of interactions in the Ramond sector, describing an interesting connection between Ramond vertices and Feynman diagrams.

arXiv commentv2: 63 pages, 4 figures. Minor corrections, references added

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Cited by in corpus (16)

• Classical algebraic structures in string theory effective actions
• The classical cosmological constant of open-closed string field theory
• Heterotic string field theory with cyclic L-infinity structure
• Localization of effective actions in open superstring field theory
• Generalized ADHM equations from marginal deformations in open superstring field theory
• Localization of effective actions in Heterotic String Field Theory
• Closed string deformations in open string field theory I: bosonic string
• Light-cone reduction of Witten's open string field theory
• Tree-level S-matrix of superstring field theory with homotopy algebra structure
• Perturbative path-integral of string field and the $A_{\infty }$ structure of the BV master equation
• Type II superstring field theory with cyclic L-infinity structure
• Super Yang-Mills action from WZW-like open superstring field theory including the Ramond sector
• 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
• Type II superstring field theory revisited
• A consistent light-cone-gauge superstring field theory